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 < 360°, does A make with the +x-axis? 

FREE Expert Solution

Vector direction: 

tanθ=yx

tan-1(-θ) = 180°- tan-1θ

θA = 180 - tan-1(5.00/-3.00) 

View Complete Written Solution
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? 

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vectors with More Trigonometry concept. You can view video lessons to learn Vectors with More Trigonometry. Or if you need more Vectors with More Trigonometry practice, you can also practice Vectors with More Trigonometry practice problems.