Mixed checkpoint · Question 1
Add, rebuild, and locate the resultant
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Question 1
A = (3, 4) and B = (−1, 2). Find R = A + B, its magnitude, and its direction from +x.
Visual explanationSee why the answer works⌄
Picture → components → result → direction
R = (3 − 1, 4 + 2) = (2, 6). Therefore |R| = √(2² + 6²) = √40 ≈ 6.32 and θ = tan⁻¹(6/2) ≈ 71.57° in Quadrant I.