Let , and . Evaluate the scalar product…

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

Problem

Let a=(1,2,−1)\mathbf{a}=(1,2,-1), b=(0,−3,4)\mathbf{b}=(0,-3,4) and c=(2,1,5)\mathbf{c}=(2,1,5). Evaluate the scalar product (2a−3b) ⋅ (b+c)(2\mathbf{a}-3\mathbf{b})\,\cdot\,(\mathbf{b}+\mathbf{c}).

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