Vector Projection
Scalar Projection
Vector Projection
The vector projection is the unit vector of 
by the scalar projection of u on v.
The scalar projection of u on v is the magnitude of the vector projection of u on v.
Examples
Calculate the vector projection of 
= (2, 1) on the vector 
= (−3, 4).
Calculate the vector projection of 
on the vector 
.
Calculate the scalar projection of the vector 
on the vector 
if: A = (6,0), B = (3,5) and C = (−1,−1).
If the vertices of a triangle are A = (6, 0), B = (3, 5) and C = (−1, −1), compute the scalar projections of the sides AB and CB on AC, and check that their sum is equal to the length of AC.
= (-3, 5) 
= (3, -5)
= (-7, -1) 
= (7, 1) 
= (-4, -6) 
= (4, 6) 
· = |(−3)· (−7) + 5 · (-1)| = 16
· = 7· 4 + 1 · 6 = 34
