Vector (English)
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Definition (keystage 3)
In elementary maths, a vector is a quantity which has both size and direction. For instance the wind might be measured by a vector, since it has both speed and direction.
Sometimes it is helpful to think of a vector as a directed line segment.
At a higher level we define a vector as a member of a set of objects which obeys the rules of vector algebra - i.e. a member of a vector space.
Sometimes it is helpful to think of a vector as a directed line segment.
At a higher level we define a vector as a member of a set of objects which obeys the rules of vector algebra - i.e. a member of a vector space.
Definition (undergraduate level)
An element of a vector space.
Relations
- broader:
- (en) Algebraic object
- (en) Object in 2 or more dimensions
- (en) Tensor
- narrower:
- (en) Binormal
- (en) Binormal vector
- (en) Column vector
- (en) Component
- (en) Composite vector
- (en) Eigenvector
- (en) Grad
- (en) Normal vector
- (en) Position vector
- (en) Resultant vector
- (en) Row vector
- (en) Set of vectors
- (en) Tangent vector
- (en) Unit vector
- (en) Vector area
- (en) Zero vector
- references:
- (en) Coordinate geometry of space
- (en) Coordinate geometry of the plane
- (en) Geometry
- (en) Linear algebra
- (en) Transformational geometry
- (en) Vector algebra
- (en) Vector space
- referenced:
- (en) Modulus of a vector
- (en) Orthonormal
- (en) Rayleigh quotient
- (en) Vector equation of a line
- (en) Vector equation of a plane
- see also:
- (en) Scalar
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