Vector Homework

Question

Vector A has a length of 18.5 and is at an angle of 30 degrees. Vector B has a length of 20 and is at an angle of 210 degrees. To the nearest tenth of a unit, what is the magnitude of A+B?

Answer 1

C = A + B

 

C_x = A_x + B_x = 18.5cos(30°) + 20cos(210°) ≅ 16.02 - 17.32 = -1.3

 

C_y = A_y + B_y = 18.5sin(30°) + 20sin(210°) = 9.25 - 10 = -0.75

 

C = √(C_x² + C_y²) = √[(-1.3)² + (-0.75)²] ≅ 1.5

 

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