The vector projection of a vector 
onto a nonzero vector 
is
 |
It is the component of 
parallel to 
. Its signed coefficient along
the unit vector 
is the scalar projection.
The difference 
is orthogonal to 
.
Vector Projection
See also
Dot Product, Orthogonal Projection, Projection, Scalar ProjectionExplore with Wolfram|Alpha
References
Marsden, J. E. and Tromba, A. J. Vector Calculus, 5th ed. New York: W. H. Freeman, 2003.Cite this as:
Weisstein, Eric W. "Vector Projection." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/VectorProjection.html