Question

Let a = (-8, 0, 4) and b = (-5, 0, 0) be vectors. Find the scalar, vector, and orthogonal projections of b onto a.

Scalar Projection: ???

Vector Projection:
( ? , ? , ? )

Orthogonal Projection:
( ? , ? , ? )

Answer 1

scalar proj: a dot b / magnitude of a = 40/√80 = 4.47
vector proj : (a dot b / magnitude of a squared) * a = 40/80 * (-8, 0, 4) = (-4, 0, 2)
orth proj: weird name for the cross product of a and b but i assume thats what you are asked for, a X b = (0, 20, 0)

Answer 2

thanks man

Answer 3

sure thing