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Direction   - Projection The projection...

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Direction - The direction in which a 2D-vector points can be characterized by a single angle; for 3D-vectors two angles are needed. Euclidean Space - The name given to all finite-dimensional spaces obtained by taking Cartesian products of the real numbers R . They are denoted by R n for n = 1 , 2 , 3 ,... Magnitude - The magnitude of a vector is its length, or distance from the origin.
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Unformatted text preview: Projection - The projection of a vector in a particular direction is its "shadow" along that direction. If u is a unit vector, the projection of a vector v in the direction of u is given by a new vector which points in the direction of u and whose magnitude is vƒu : i.e. the projection of v in the direction of u is precisely (vƒu)u ....
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