Find the inner product for (7, 2) * (0, - 2) and state whether the vectors are perpendicular.

a. - 4; no

b. - 4; yes

c. 4; no

d. 4; yes

Answer: A

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 (7,2) and (0,-2) the inner product would be

(7 * 0) + (2 * - 2)

= 4

The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to - 4 in this case, the vectors are not perpendicular.

A - 4; no

a) - 4, no

Step-by-step explanation:

a•b = (x1 * x2) + (y1 * y2)

= (7 * 0) + (2 * - 2)

= 0 - 4

= - 4

Hence they are not Perpendicular