Scalar resolute
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The scalar resolute (also known as the scalar projection) of a vector in the direction of a vector (also " on "), is given by:
where θ is the angle between the vectors and and is the unit vector in the direction of .
The scalar resolute is a scalar, and is the length of the orthogonal projection of the vector onto the vector .
Multiplying the scalar resolute by converts it into the vector resolute, a vector.