Question

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 1

b) 0; yes

Explanation:

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

= (-2 × 16) + (4 × 4) + (8 × 2)

= -32 + 16 + 16

= 0

Hence they are Perpendicular

Answer 2

Answer: B

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