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Physical quantity that is a vector
sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. It is typically
Vector_quantity
Broad concept generalizing scalars in mathematics and physics
mathematics and physics, a vector is a generalization of a single number. It may denote a vector quantity, i.e., physical quantity that cannot be expressed
Vector (mathematics and physics)
Vector_(mathematics_and_physics)
Measurable property of a material or system
physical quantity mass, symbol m, can be quantified as m=n kg, where n is the numerical value and kg is the unit symbol (for kilogram). Vector quantities have
Physical_quantity
quantity is a scalar, vector, matrix or tensor), and whether the quantity is conserved. List of photometric quantities List of radiometric quantities
List_of_physical_quantities
Geometric object that has length and direction
direction. Euclidean vectors can be added and scaled to form a vector space. A vector quantity is a vector-valued physical quantity, including units of
Euclidean_vector
Analysis of the dimensions of different physical quantities
added to a suitable affine quantity (a vector space acts on an affine space), yielding a new affine quantity. Affine quantities cannot be added, but may
Dimensional_analysis
Mathematical concept applicable to physics
applied mathematics and vector calculus which has many applications in physics. For transport phenomena, flux is a vector quantity, describing the magnitude
Flux
Quantity in electromagnetism
In classical electromagnetism, magnetic vector potential (often denoted A) is the vector quantity defined so that its curl is equal to the magnetic field
Magnetic_vector_potential
Speed and direction of a motion
physical objects. Velocity is a vector quantity, meaning that both magnitude and direction are needed to define it (velocity vector). The scalar absolute value
Velocity
Topics referred to by the same term
Euclidean vector, a quantity with a magnitude and a direction Vector may also refer to: Vector, a one-dimensional array data structure Distance-vector routing
Vector
One-dimensional physical quantity
single number. Velocity, on the other hand, is a vector quantity. Other examples of scalar quantities are mass, charge, volume, time, speed, pressure,
Scalar_(physics)
Assignment of a vector to each point in a subset of Euclidean space
the plane. Vector fields often have unit of measurement (for example, metres or kilometres per hour), forming a vector physical quantity. They may be
Vector_field
Property of a mass in motion
object. It is a vector quantity, possessing a magnitude and a direction. If m is an object's mass and v is its velocity (also a vector quantity), then the
Momentum
Force on a mass due to gravity
textbooks define weight as a vector quantity, the gravitational force acting on the object. Others define weight as a scalar quantity, the magnitude of the gravitational
Weight
Earth) and the centrifugal force (from the Earth's rotation). It is a vector quantity, whose direction coincides with a plumb bob and strength or magnitude
Gravity_of_Earth
Rate of change of velocity
velocity, acceleration has a magnitude and a direction, making it a vector quantity. The SI unit for acceleration is metre per second squared (m⋅s−2, m/s2)
Acceleration
Vector representing the energy passing through a given area per unit time
metre (W/m2). It has both a direction and a magnitude, and so it is a vector quantity. To define the heat flux at a certain point in space, one takes the
Heat_flux
Line integral of the electric field
electrostatic field is a vector quantity expressed as the gradient of the electrostatic potential, which is a scalar quantity denoted by V or occasionally
Electric_potential
Influence that can change motion of an object
magnitude and direction of a force are both important, force is a vector quantity (force vector). The SI unit of force is the newton (N), and force is often
Force
Branch of mechanics concerned with balance of forces in nonmoving systems
{\displaystyle {\textbf {F}}=m{\textbf {a}}\,} (the bold font indicates a vector quantity, i.e. one with both magnitude and direction). If a = 0 {\displaystyle
Statics
Algebraic structure in linear algebra
generally, elements of any field. Vector spaces generalize Euclidean vectors, which allow modeling of physical quantities (such as forces and velocity) that
Vector_space
Concept in the physics of electromagnetism
electromagnetism, the magnetic moment or magnetic dipole moment is a vector quantity which characterizes the strength and orientation of a magnet or other
Magnetic_moment
Physical quantities taking values at each point in space and time
In science, a field or field quantity is a physical quantity – represented by a scalar, vector, spinor, or tensor – that has a value for each point in
Field_(physics)
Measure of directional electromagnetic energy flux
In physics, the Poynting vector (or Umov–Poynting vector) represents the directional energy flux (the energy transfer per unit area, per unit time) or
Poynting_vector
Property of space that quantifies the magnetic influence at a given location
is natural to define a quantity m called the magnetic dipole moment such that Definition of magnetic dipole moment, m (vector form, SI units) m = I A
Magnetic_field
Electromagnetic phenomenon
whether electric or magnetic, is characterized by its dipole moment, a vector quantity. Electric dipoles produce an electric field and experience forces and
Dipole
Differential operator in mathematics
scalar field and returns a scalar quantity, the vector Laplacian applies to a vector field, returning a vector quantity. When computed in orthonormal Cartesian
Laplace_operator
Scientific law regarding conservation of a physical property
=\mathbf {0} } where y is called the conserved (vector) quantity, ∇y is its gradient, 0 is the zero vector, and A(y) is called the Jacobian of the current
Conservation_law
SI derived unit of speed and velocity
meter per second) is the unit of both speed (a scalar quantity) and velocity (a vector quantity, which has direction and magnitude) in the International
Metre_per_second
Rate of change of acceleration with time
the rate of change of an object's acceleration over time. It is a vector quantity (having both magnitude and direction). Jerk is most commonly denoted
Jerk_(physics)
Integral of a comparatively larger force over a short time interval
impacts and collisions, for which it gets its namesake. Impulse is a vector quantity, meaning it has both a magnitude, which describes the amount by which
Impulse_(physics)
Rate of transfer of energy through a surface
normalized per unit area); SI units: W⋅m−2 = J⋅m−2⋅s−1: This is a vector quantity, its components being determined in terms of the normal (perpendicular)
Energy_flux
Sum of directed areas in exterior algebra
mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering a scalar
Bivector
Physical quantity that changes sign with improper rotation
physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under continuous rigid transformations such as rotations
Pseudovector
Temperature difference per unit of length
around a particular location. The temperature spatial gradient is a vector quantity with dimension of temperature difference per unit length. The SI unit
Temperature_gradient
Symbol used to indicate the del operator
of his Lectures and pointed out its effects on both a scalar and a vector quantity. ... Neither in the Lectures nor in the Elements, however, is the theory
Nabla_symbol
variables, and their notations. Note that bold text indicates that the quantity is a vector. List of letters used in mathematics and science Glossary of mathematical
List of common physics notations
List_of_common_physics_notations
Physical quantity that expresses internal forces in a continuous material
perpendicular to S; hence the stress across a surface must be regarded a vector quantity, not a scalar. Moreover, the direction and magnitude generally depend
Stress_(mechanics)
Index of articles associated with the same name
takes two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the
Vector_multiplication
denote the net magnetization vector. Although in physics and mathematics the notation to represent a physical quantity can be arbitrary, it is generally
B₀
Number of rotations per unit time
with dimension of time (SI unit seconds). Rotational velocity is the vector quantity whose magnitude equals the scalar rotational speed. In the special
Rotational_frequency
Family of linear transformations
transformation of angular momentum. It turns out L transforms with another vector quantity N = (E/c2)r − tp related to boosts, see Relativistic angular momentum
Lorentz_transformation
resistor vector Any quantity that has both magnitude and direction. vector space A mathematical structure formed by a collection of elements called vectors, which
Glossary_of_physics
Mathematical identities
∇2 is the vector Laplacian operating on the vector field A. The divergence of a vector field A is a scalar, and the curl of a scalar quantity is undefined
Vector_calculus_identities
Conserved physical quantity; rotational analogue of linear momentum
proportionality a second-rank tensor rather than a scalar. Angular momentum is a vector quantity (more precisely, a pseudovector) that represents the product of a body's
Angular_momentum
Topics referred to by the same term
Wiktionary, the free dictionary. Momentum, or linear momentum, is a vector quantity in physics. Momentum may also refer to: Momentum (finance), an empirical
Momentum_(disambiguation)
Transport of a substance by bulk motion
{\textstyle \nabla \psi =0} for any vector u {\textstyle \mathbf {u} } ) along a streamline. If a vector quantity a {\displaystyle \mathbf {a} } (such
Advection
Classical statement of gravity as force
earlier, except that F is now a vector quantity, and the right hand side is multiplied by the appropriate unit vector. Also, it can be seen that F12 =
Newton's law of universal gravitation
Newton's_law_of_universal_gravitation
Vector field describing the density of electric dipole moments in a dielectric material
material sample is defined as the quotient of electric dipole moment (a vector quantity, expressed as coulombs-meters (C⋅m) in SI units) to volume (in meters
Polarization_density
Calculus of vector-valued functions
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional
Vector_calculus
Concept in 3-dimensional geometry
In 3-dimensional geometry and vector calculus, an area vector is a vector combining an area quantity with a direction, thus representing an oriented area
Vector_area
Concepts from linear algebra
(possibly a negative or complex number). Geometrically, vectors are multi-dimensional quantities with magnitude and direction, often pictured as arrows
Eigenvalues_and_eigenvectors
Description of large objects' physics
of motion. Newtonian mechanics in this sense emphasizes force as a vector quantity. In contrast, analytical mechanics uses scalar properties of motion
Classical_mechanics
Force distributed over an area
of the surface on contact. Pressure is a scalar quantity. It relates the vector area element (a vector normal to the surface) with the normal force acting
Pressure
Laws in physics about force and motion
a vector: a quantity with both magnitude and direction. Velocity and acceleration are vector quantities as well. The mathematical tools of vector algebra
Newton's_laws_of_motion
SI derived unit of acceleration
time interval, i.e. metre per second per second and is treated as a vector quantity. When an object experiences a constant acceleration of one metre per
Metre_per_second_squared
Vector relating the initial and the final positions of a moving point
time interval defines the average velocity (a vector), whose magnitude is the average speed (a scalar quantity), over the motion on this time interval. A
Displacement_(geometry)
Mathematical operation on vectors in 3D space
represent quantities such as multi-dimensional space-time. (See § Generalizations below for other dimensions.) The cross product of two vectors a and b
Cross_product
Value remaining constant in a dynamical system
(\mathbf {r} ,t)} where bold indicates vector quantities, a scalar-valued function H(r) is a conserved quantity of the system if, for all time and initial
Conserved_quantity
Method of smoothing using a spline function
possibilities, including for the case where x {\displaystyle x} is a vector quantity. Let { x i , Y i : i = 1 , … , n } {\displaystyle \{x_{i},Y_{i}:i=1
Smoothing_spline
Device that measures proper acceleration
both the magnitude and the direction of the proper acceleration, as a vector quantity, and is usually implemented as several single-axis accelerometers oriented
Accelerometer
Property of magnitude or multitude
numbers, or have multiple quantities as do vectors and tensors, two kinds of geometric objects. The mathematical usage of a quantity can then be varied and
Quantity
Vector quantity in celestial mechanics
equal to zero, the quantity r × r ˙ {\displaystyle \mathbf {r} \times {\dot {\mathbf {r} }}} is constant. Using the velocity vector v {\displaystyle \mathbf
Specific_angular_momentum
Vector quantity describing mass flow rate through a given area
sometimes with subscript m to indicate mass is the flowing quantity. This flux quantity is also known simply as "mass flow". "Mass flux" can also refer
Mass_flux
Value of a vector-valued field
referring to a vector quantity. However, the word 'strength' may lead to confusion as it might be referring only to the magnitude of that vector. For both
Field_strength
Mathematical concept in vector calculus
In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar
Vector_potential
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
mathematics and theoretical physics, a Killing vector field or Killing field (named after Wilhelm Killing) is a vector field on a Riemannian manifold or pseudo-Riemannian
Killing_vector_field
Physical quantity carried in photons
The angular momentum of light is a vector quantity that expresses the amount of dynamical rotation present in the electromagnetic field of the light.
Angular_momentum_of_light
Vector representing the position of a point with respect to a fixed origin
In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents a point P in space.
Position_(geometry)
Vector used in astronomy
quantum mechanics, conserved quantities generally correspond to a symmetry of the system. The conservation of the LRL vector corresponds to an unusual symmetry;
Laplace–Runge–Lenz_vector
Physical object which does not deform when forces or moments are exerted on it
to a frame of reference. The linear velocity of a rigid body is a vector quantity, equal to the time rate of change of its linear position. Thus, it
Rigid_body
Quantum number related to the weak interaction
weak isospin. In the modern formulation, isospin (I) is defined as a vector quantity in which up and down quarks have a value of I = 1/2, with the 3rd-component
Isospin
Pulling force transmitted axially
tension is dynespercentimeters Tension in a string is a non-negative vector quantity. Zero tension is slack. A string or rope is often idealized as one
Tension_(physics)
Vector of length one
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase
Unit_vector
Separation between two points
distance is a scalar quantity, or a magnitude, displacement is a vector quantity with both magnitude and direction. In general, the vector measuring the difference
Distance
Unit of speed
(plural feet per second) is a unit of both speed (scalar) and velocity (vector quantity, which includes direction). It expresses the distance in feet (ft)
Foot_per_second
Direction and rate of rotation
letter omega), also known as the angular frequency vector, is a three-dimensional Euclidean vector that uniquely identifies the plane, direction and angular
Angular_velocity
Theory in monetary economics
{\displaystyle q_{i}\,} are the price and quantity of the i-th transaction. p {\displaystyle \mathbf {p} } is a column vector of the p i {\displaystyle p_{i}\
Quantity_theory_of_money
Branch of physics describing the motion of objects without considering forces
particle's position as a function of time. The velocity of a particle is a vector quantity that describes the direction as well as the magnitude of motion of
Kinematics
Use of coordinates for representing vectors
Vector notation In mathematics and physics, vector notation is a commonly used notation for representing vectors, which may be Euclidean vectors, or more
Vector_notation
Vector describing a wave; often its propagation direction
In physics, a wave vector (or wavevector) is a vector used in describing a wave, with a typical unit being cycle per metre. It has a magnitude and direction
Wave_vector
Type of electric dipole moment
the two states. In general the transition dipole moment is a complex vector quantity that includes the phase factors associated with the two states. Its
Transition_dipole_moment
Equations describing classical electromagnetism
element analysis. Symbols in bold represent vector quantities, and symbols in italics represent scalar quantities, unless otherwise indicated. The equations
Maxwell's_equations
Algebraic operation on coordinate vectors
product takes two vectors and returns a scalar quantity. It is also known as the "scalar product". The dot product of two vectors can be defined as the
Dot_product
Overview of mechanics based on the least action principle
also be called vectorial mechanics. A scalar is a quantity, whereas a vector is represented by quantity and direction. The results of these two different
Analytical_mechanics
Hamilton's original treatment of quaternions
quaternion algebra, which makes it a normed vector space. Hamilton defined tensor as a positive numerical quantity, or, more properly, signless number. A tensor
Classical Hamiltonian quaternions
Classical_Hamiltonian_quaternions
Accelerations are vector quantities (they have magnitude and direction) and add according to the parallelogram law. As a vector, the calculated net
Glossary of mechanical engineering
Glossary_of_mechanical_engineering
Vector sum of all forces acting upon a particle or body
force" can have distinct meanings. In physics, a force is considered a vector quantity. This means that it not only has a size (or magnitude) but also a direction
Net_force
Hadron (subatomic particle) that is composed of three quarks
{b} }-n_{\mathrm {\bar {b}} })\right].} Spin (quantum number S) is a vector quantity that represents the "intrinsic" angular momentum of a particle. It
Baryon
Topics referred to by the same term
k-form An element of a k-dimensional vector space, especially a four-vector used in relativity to mean a quantity related to four-dimensional spacetime
K-vector
Equation describing the transport of some quantity
this quantity, that is, the amount of q per unit volume. The way that this quantity q is flowing is described by its flux. The flux of q is a vector field
Continuity_equation
Punctuation and accent mark (~, ◌̃)
context. A tilde placed below a letter in mathematics can represent a vector quantity (e.g. ( x 1 , x 2 , x 3 , … , x n ) = x ∼ {\displaystyle (x_{1},x_{2}
Tilde
Elements of a field, e.g. real numbers, in the context of linear algebra
have other roles in terms of vector components, in normed vector spaces, in modules, and in transformations. A quantity described by multiple scalars
Scalar_(mathematics)
Operation in mathematical calculus
terms of vector quantities) as: W = F ⋅ s . {\displaystyle W=\mathbf {F} \cdot \mathbf {s} .} For an object moving along a path C in a vector field F such
Integral
Term for accelerations felt as weight in multiples of standard gravity
acceleration is a vector quantity, g-force accelerations ("g-forces" for short) are often expressed as a scalar, based on the vector magnitude, with positive
G-force
Vector field that is the gradient of some function
In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property
Conservative_vector_field
Electrically insulating substance able to be polarised by an applied electric field
superposition principle. A dipole is characterised by its dipole moment, a vector quantity shown in the figure as the blue arrow labeled M. It is the relationship
Dielectric
Equation describing the evolution of the vorticity of a fluid particle as it flows
Note that (ω ∙ ∇) u is a vector quantity, as ω ∙ ∇ is a scalar differential operator, while ∇u is a nine-element tensor quantity. The term ω(∇ ∙ u) describes
Vorticity_equation
Vector operator in vector calculus
In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the rate that the vector field alters
Divergence
Subject in astrodynamics and rockety
constant, due to consumption of propellant and staging. Thrust is a vector quantity, and the direction of the thrust has a large impact on the size of
Gravity_loss
VECTOR QUANTITY
VECTOR QUANTITY
Male
Scandinavian
 Scandinavian form of Roman Latin Victor, VIKTOR means "conqueror." Compare with another form of Viktor.
Boy/Male
Spanish American Shakespearean Greek Latin
Tenacious.
Male
Portuguese
Portuguese form of Latin Hector, HEITOR means "defend; hold fast."
Boy/Male
American, British, Christian, Danish, Dutch, English, Finnish, French, German, Greek, Hindu, Indian, Irish, Jamaican, Latin, Romanian, Slovenia, Spanish, Swedish, Swiss, Tamil, Ukrainian
Victorious; Conqueror; Winner; Champion; One who Conquers; Victory
Male
Greek
(á¼ÎºÏ„ωÏ) Variant spelling of Greek Hektor, EKTOR means "defend; hold fast."
Boy/Male
Australian, Basque, Czech, Czechoslovakian, Danish, Finnish, French, German, Hungarian, Latin, Polish, Slovenia, Swedish, Swiss, Ukrainian
The Conqueror; Victory; Victorious; Conquer
Male
Portuguese
Galician-Portuguese form of Roman Latin Victor, VITOR means "conqueror."
Male
Russian
(Cyrillic Виктор): Slavic form of Roman Latin Victor, VIKTOR means "conqueror." In use by the Bulgarians, Russians and Serbians. Compare with another form of Viktor.
Surname or Lastname
Scottish
Scottish : Anglicized form of the Gaelic personal name Eachann (earlier Eachdonn, already confused with Norse Haakon), composed of the elements each ‘horse’ + donn ‘brown’.English : found in Yorkshire and Scotland, where it may derive directly from the medieval personal name. According to medieval legend, Britain derived its name from being founded by Brutus, a Trojan exile, and Hector was occasionally chosen as a personal name, as it was the name of the Trojan king’s eldest son. The classical Greek name, HektÅr, is probably an agent derivative of Greek ekhein ‘to hold back’, ‘hold in check’, hence ‘protector of the city’.German, French, and Dutch : from the personal name (see 2 above). In medieval Germany, this was a fairly popular personal name among the nobility, derived from classical literature. It is a comparatively rare surname in France.
Boy/Male
English American
Doctor; teacher.
Boy/Male
Spanish
Victor.
Male
Arthurian
, sir Hector de Maris; (defender).
Boy/Male
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Greek, Italian, Latin, Portuguese, Shakespearean, Spanish
Steadfast; Anchor; Holds Fast; Star; Coined from Esther Vanhomrigh; Tenacious; Defend; Hold Fast; Coined from Esther Vanho
Boy/Male
Christian & English(British/American/Australian)
Conqueror
Boy/Male
Christian & English(British/American/Australian)
Steadfast
Male
English
Roman Latin name VICTOR means "conqueror."Â
Male
English
Short form of English Sylvester, VESTER means "from the forest."
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
Boy/Male
Arthurian Legend
Father of Arthur.
Boy/Male
Latin American Spanish
Conqueror.
VECTOR QUANTITY
VECTOR QUANTITY
Male
Irish
Old Irish Gaelic name MAOILMHÃN means "gentle chieftain."
Boy/Male
Indian
Light of the religion i.e. Islam
Female
Yiddish
(גִּיטל) Variant spelling of Yiddish Gitel, GITELE means "good."
Boy/Male
Hindu
God, Lord Vishnu
Girl/Female
Australian, French
Just; Upright; Feminine of Justin
Boy/Male
Tamil
Yudhishthira | யà¯à®¤à®¿à®·à®Ÿà¯€à®°à®¾
One who established Yudhisthira back as king
Surname or Lastname
English
English : possibly a topographic name from Middle English long ‘long’ + weye ‘way’, ‘road’, or a habitational name from some minor place so named; Longway Bank in Derbyshire, however, is named from Old English lang ‘long’ + hÅh ‘hill spur’.
Girl/Female
Tamil
Well known
Girl/Female
Arabic, Muslim
Bearing Witness
Female
Spanish
Spanish name ASCENCIÓN means "ascension."
VECTOR QUANTITY
VECTOR QUANTITY
VECTOR QUANTITY
VECTOR QUANTITY
VECTOR QUANTITY
n.
A term made up of the two parts / + /1 /-1, where / and /1 are vectors.
n.
An astronomical instrument, the limb of which embraces a small portion only of a circle, used for measuring differences of declination too great for the compass of a micrometer. When it is used for measuring zenith distances of stars, it is called a zenith sector.
a.
Of or pertaining to victory, or a victor' being a victor; bringing or causing a victory; conquering; winning; triumphant; as, a victorious general; victorious troops; a victorious day.
n.
The province of a rector; a parish church, parsonage, or spiritual living, with all its rights, tithes, and glebes.
n.
Any mechanical contrivance intended to remedy a difficulty or serve some purpose in an exigency; as, the doctor of a calico-printing machine, which is a knife to remove superfluous coloring matter; the doctor, or auxiliary engine, called also donkey engine.
n.
The ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor.
n.
An African weaver bird (Textor alector).
a.
Pertaining to a rector or a rectory; rectoral.
n.
A contrivance for removing superfluous ink or coloring matter from a roller. See Doctor, 4.
n.
A woman who wins a victory; a female victor.
n.
A pregnant woman; a mother; as, A has a son B by one venter, and a daughter C by another venter; children by different venters.
n.
The chief elective officer of some universities, as in France and Scotland; sometimes, the head of a college; as, the Rector of Exeter College, or of Lincoln College, at Oxford.
n.
A mathematical instrument, consisting of two rulers connected at one end by a joint, each arm marked with several scales, as of equal parts, chords, sines, tangents, etc., one scale of each kind on each arm, and all on lines radiating from the common center of motion. The sector is used for plotting, etc., to any scale.
v. t.
To treat as a physician does; to apply remedies to; to repair; as, to doctor a sick man or a broken cart.
n.
The turning factor of a quaternion.
n.
A belly, or protuberant part; a broad surface; as, the venter of a muscle; the venter, or anterior surface, of the scapula.
n.
Same as Radius vector.
v. t.
To confer a doctorate upon; to make a doctor.
v. t.
To tamper with and arrange for one's own purposes; to falsify; to adulterate; as, to doctor election returns; to doctor whisky.
n.
A directed quantity, as a straight line, a force, or a velocity. Vectors are said to be equal when their directions are the same their magnitudes equal. Cf. Scalar.