A vector is a magnitude with a direction. Much of physics deals with vectors. An -dimensional vector can be thought of as an ordered -tuple of numbers within angle brackets. The set of vectors in some space is an example of a vector space.
Properties of Vectors
Dot (Scalar) Product (proof as well?)
Cross (Vector) Product
Triple Scalar product
Triple Vector Product (and geometric interpretation as the volume of a parallelepiped)
Related threads from AoPS forum
-  (This is a thread about what vectors are.)
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