Operations on vectors

Scalar projection

In mathematics, the scalar projection of a vector on (or onto) a vector , also known as the scalar resolute of in the direction of , is given by: where the operator denotes a dot product, is the unit vector in the direction of , is the length of , and is the angle between and . The term scalar component refers sometimes to scalar projection, as, in Cartesian coordinates, the components of a vector are the scalar projections in the directions of the coordinate axes. The scalar projection is a scalar, equal to the length of the orthogonal projection of on , with a negative sign if the projection has an opposite direction with respect to . Multiplying the scalar projection of on by converts it into the above-mentioned orthogonal projection, also called vector projection of on . (Wikipedia).

Scalar projection
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Related pages

Cosine | Dot product | Basis (linear algebra) | Unit vector | Vector projection | Angle | Scalar (mathematics) | Cross product