Vectors with More Trigonometry Video Lessons

Concept

# 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 θA, where 0° ≤ θA &lt; 360°, does A make with the +x-axis?

###### FREE Expert Solution

Vector direction:

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

θA = 180 - tan-1(5.00/-3.00)

85% (450 ratings)
###### 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 θA, where 0° ≤ θA < 360°, does A make with the +x-axis?