For non-zero vectors and

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

Problem

For non-zero vectors p\mathbf{p} and q\mathbf{q}, the equality p−q=q−p\mathbf{p}-\mathbf{q}=\mathbf{q}-\mathbf{p} holds if and only if (a) p=−q\mathbf{p}=-\mathbf{q} (b) ∣p∣=∣q∣|\mathbf{p}|=|\mathbf{q}| (c) p=q\mathbf{p}=\mathbf{q} (d) p⋅q=0\mathbf{p}\cdot\mathbf{q}=0

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