Show that for any two vectors

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

Problem

Show that for any two vectors a,b∈R3\mathbf{a},\mathbf{b}\in\mathbb{R}^3, the identity ∣a+b∣2=∣a∣2+∣b∣2+2 a⋅b|\mathbf{a}+\mathbf{b}|^{2}=|\mathbf{a}|^{2}+|\mathbf{b}|^{2}+2\,\mathbf{a}\cdot\mathbf{b} holds.

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