Basic Mathematics & Vectors: Vector Algebra MCQ

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Vector AlgebraHardQuestion 5131

Question

If |A + B| = |A − B|, then the angle between A and B is:

90°

|A+B|² = A²+B²+2AB cosθ and |A−B|² = A²+B²−2AB cosθ. For equality: 4AB cosθ = 0 → cosθ = 0 → θ = 90°.