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) 

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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?