What is the sum of the polar vectors (13;65 $\circ$ )and (21;135 $\circ$ )?
A)(21.5;23.3 $\circ$ )
B)(28.2;109.4 $\circ$ )
C)(14.3;43.2 $\circ$ )
D)(25.4;-24.3 $\circ$ )
E)(12.2;124.2 $\circ$ )

Question

Quizplus · Accepted Answer

To add two polar vectors, we need to use the following formula:

Resultant magnitude = sqrt(a^2 + b^2 + 2abcos(theta))
Resultant angle = atan((a sin(alpha) + b sin(beta)) / (a cos(alpha) + b cos(beta)))

Using this formula, we get:

Resultant magnitude = sqrt(13^2 + 21^2 + 2(13)(21)cos(135-65)) ≈ 28.2
Resultant angle = atan((13 sin(65) + 21 sin(135)) / (13 cos(65) + 21 cos(135))) ≈ 109.4

Therefore, the answer is B: (28.2;109.4°).

What Is the Sum of the Polar Vectors (13;65 ∘\circ∘ )and (21;135

What Is the Sum of the Polar Vectors (13;65^$\circ$)and (21;135