Evaluate (i•v,j•v,k•v​), where i​, j​, and k are the standard unit vectors:

Question

Evaluate (i•v,j•v,k•v), where i, j, and k are the standard unit vectors:
r=(−5,0,−4)
v=(-4,-5,0)

w=(5,-10,-10)

Answer 1

Just apply the definition of orthonormal unit vectors.

 

i·v = x-component of v = -4

j·v = y-component of v = -5

k·v = z-component of v = 0