Question

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 1

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

Answer 2

Answer:

d

Step-by-step explanation:

a•b = (x1 × x2) + (y1 × y2)

= (-8 × 4.5) + (2 × 18)

= -36 + 36

= 0

Hence they are Perpendicular