Question

Find the inner product for (3, 5) * (4, -2) and state whether the vectors are perpendicular.

a. 1; no
b. 1; yes
c. 2; no
d. 2; yes
PLEASE HELP FAST. THANK YOU! 50 POINTS.

Answer 1

C

Explanation:

a.b = (x1 × x2) + (y1 × y2)

= (3×4) + (5×-2)

= 12 - 10

= 2

Hence not Perpendicular

Answer 2

Answer: C

Explanation:

the inner product of (a,b) * (c,d) is ac + bd

= 3 * 4 + 5 * -2

= 12 - 10

= 2

since the inner product is not 0, the vectors are not perpendicular