Find the inner product for (7.2) (0,-2) and state whether the vectors are perpendicular.

a. - 4; no

c. 4; no

b. - 4; yes

d. 4; yes

a. - 4; no

Step-by-step explanation:

Suppose we have two vectors, a and b.

a = (1,2)

b = (2,3)

Their inner product is:

a. b = (1,2). (2,3) = 1*2 + 2*3 = 8

The vectors are perpendicular if their inner product is 0.

In this question:

a = (7,2)

b = (0,-2)

So

a. b = (7,2). (0,-2) = 7*0 + 2 * (-2) = - 4

-4 is different of 0, so they are not perpendicular.

So the corret answer is:

a. - 4; no