If for non-zero vectors and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

If ∣a+b∣2=∣a∣2+∣b∣2|\mathbf{a}+\mathbf{b}|^{2}=|\mathbf{a}|^{2}+|\mathbf{b}|^{2} for non-zero vectors a\mathbf{a} and b\mathbf{b}, then the angle between a\mathbf{a} and b\mathbf{b} is (a) 0∘0^{\circ} (b) 60∘60^{\circ} (c) 90∘90^{\circ} (d) 180∘180^{\circ}

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