Prove that for every vector

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Prove that for every vector a∈R3\mathbf a\in\mathbb R^{3}, the quantity a⋅a\mathbf a\cdot\mathbf a is always non-negative and equals 00 only when a\mathbf a is the zero vector.

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