Question

A vector is located in the x-y plane. The x and y components of this vector are 4.00 m and 3.00 m, respectively. Find the angle that this vector makes with the positive y-axis.

Answer 1

Answer:

$53.13^{0}$

Step-by-step explanation:

Consider vector A as shown in the figure given. The x- and y-component of vectors are given as Ax and Ay.

The angle of the vector with positive x-axis is given by,

∅ =$Tan^{-1}$ ($\frac{Ay}{Ax}$)

= $Tan^{-1}$ ($\frac{3}{4}$)

= $36.86^{0}$

Where: Ax = x-component of the vector ann Ay=x-component of the vector

Thus, the angle of vector:

α = 90-∅

= $53.13^{0}$