Suppose the vector v has magnitude 92 and makes an angle of 247 with the positive x-axis (measured counterclockwise), when v is in standard position. Write in the form v=ai+bj

Question

Suppose the vector v has magnitude 92 and makes an angle of 247 with the positive x-axis (measured counterclockwise), when v is in standard position. Write in the form v=ai+bj Do not round any intermediate computations, and round the values in your answer to the nearest hundredth.

Answer 1

Trigonometry can be used to calculate the horizontal and vertical components of the vector.

horizontalcomponent=92*Cos(247degrees)=-35.9473 or -35.95

verticalcomponent=92*Sin(247degrees)=-84.6864 or -84.69

v=-35.95i-84.69j