Find the inner product for (-8, 2) * (4.5, 18) and state whether the vectors are perpendicular.

a. 1; no

b. 1; yes

c. 0; no

d. 0; yes

Answer: D

Step-by-step explanation:

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

So for (-8,2) and (4.5,18) the inner product would be

(-8 * 4.5) + (2 * 18)

= 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.

D - 0; yes

d

Step-by-step explanation:

a•b = (x1 * x2) + (y1 * y2)

= (-8 * 4.5) + (2 * 18)

= - 36 + 36

= 0

Hence they are Perpendicular