Question

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 1

a) -4, no

Explanation:

a•b = (x1 × x2) + (y1 × y2)

= (7 × 0) + (2 × -2)

= 0 - 4

= -4

Hence they are not Perpendicular

Answer 2

Answer: A

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