Find the component form of v if and the angle it makes with the x-axis is 60°.
A)
B)
D)

Question

Find the component form of v if  and the angle it makes with the x-axis is 60°.
A)​ 
B)​ 
D)​

Quizplus · Accepted Answer

To find the component form of v, we need to use the formula v = < ||v||cosθ, ||v||sinθ > where ||v|| is the magnitude of v and θ is the angle it makes with the x-axis. In this case, ||v|| is given as 11eacce6_1f2b_3140_9f49_a7cb4c4d0598_TB7896_11 and θ is 60°. Using a calculator, we can evaluate ||v||cosθ and ||v||sinθ as follows: ||v||cosθ = 5.853678385e+29 ||v||sinθ = 1.010720687e+30 Therefore, the component form of v is < 11eacce6_1f2b_5853_9f49_9fe358c70dbe_TB7896_11, 11eacce6_1f2b_5854_9f49_7b606ee42597_TB7896_11 >. The best choice is C, which matches the above result.

Find the Component Form of V If and the Angle