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:
“Those who speak of our culture as dead or dying have a quarrel with life, and I think they cannot understand its terms, but must endlessly repeat the projection of their own desires.”
—Muriel Rukeyser (1913–1980)