The scalar projection of a vector on (or onto) a vector, also known as the scalar resolute or scalar component 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 scalar projection is a scalar, equal to the length of the orthogonal projection of on, with a minus 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 .
Read more about Scalar Projection: Definition Based On Angle θ, Definition in Terms of A and B, Properties
Famous quotes containing the word projection:
“My image is a statement of the symbols of the harsh, impersonal products and brash materialistic objects on which America is built today. It is a projection of everything that can be bought and sold, the practical but impermanent symbols that sustain us.”
—Andy Warhol (1928–1987)