Question

Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. What is the component form of the vector u + v?
A.) < -3.95, 1.83>

B.) < -3.94, 1.89>

C.) < -3.90, 1.89>

D.) < -3.90, 1.83>

Answer 1

Answer:

Option D is the correct answer.

Step-by-step explanation:

We have vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j

Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j

u + v =  1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j = < -3.90, 1.83>

Option D is the correct answer.