Find the inner product for (-2, 4, 8) * (16, 4, 2) and state wether the vectors are perpendicular.

a. 0; no

b. 0; yes

c. 1; no

d. 1; yes

Answer: B

Step-by-step explanation:

To find the inner product of two vectors (a, b, c) and (d, e, f) you would use the equation (a * d) + (b * e) + (c*f)

So for (-2, 4, 8) and (16, 4, 2) the inner product would be

(-2 * 16) + (4 * 4) + (8 * 2)

= 0

The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to 0 in this case, the vectors are perpendicular.

B - 0; yes

b) 0; yes

Step-by-step explanation:

a•b = (x1 * x2) + (y1 * y2) + (z1 * z2)

= (-2 * 16) + (4 * 4) + (8 * 2)

= - 32 + 16 + 16

= 0

Hence they are Perpendicular