Question

The magnitude of the resultant vector shown is _____.

a. 2 square root 3
b. 3
c. square root 6
d. 6

Answer 1

Well we can use tan 30 = ✔️3/AB then solve for AB, which is AB = ✔️3/tan 30 = 3. Then you would use Pythagorean theorem to solve for R.

(3)^2 + (✔️3)^2 = R^2
9 + 3 = R^2
12 = R^2
R = ✔️12.
R = ✔️4 • 3
R = 2✔️3.

The solution would be A. 2 square root 3.