Question

If A = -8i + 4j and B = 7i -6j

a.) the scalar projection of A onto B
b.) vector projection of B onto A

Answer 1

The given vectors A = -8i+4j and B = 7i -6j

The scalar projection of A onto B =

Therefore the scalar projection of A onto B

.

Comments

The scalar projection of A onto B = - 80/√(85).

The solution - 80/√(85) doesnot write as - 16/√(17).

Answer 2

The given vectors A = -8i +4j  and B = 7i - 6j

The vector projection of B onto A

Therefore the vector projecton of B onto A

.