find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular. a. 1; no b. 1; yes c. 2; no d. 2; yes

Question

Mathematics

Angelica Goodman

21 February, 07:20

find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular. a. 1; no b. 1; yes c. 2; no d. 2; yes

+5

Answers (1)

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Denver · Answer 1

c. 2; no

Step-by-step explanation:

The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.

(3, 5) · (4, - 2) = (3) (4) + (5) (-2) = 12 - 10 = 2

When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)

The appropriate choice is ...

2; no