# Problem: You are given two vectors: A = −3.00 î + 5.00 ĵ and B = 8.00 î + 2.00 ĵ. Let the counterclockwise angles be positive. What angle θB, where 0° ≤ θB &lt; 360°, does B make with the +x-axis?

###### FREE Expert Solution

Vector direction:

$\overline{){\mathbf{tan}}{\mathbf{\theta }}{\mathbf{=}}\frac{\mathbf{y}}{\mathbf{x}}}$

θB = tan-1(2.00/8.00) = 14.0°

###### Problem Details

You are given two vectors: A = −3.00 î + 5.00 and B = 8.00 î + 2.00 . Let the counterclockwise angles be positive.

What angle θB, where 0° ≤ θB < 360°, does B make with the +x-axis?