With and , evaluate . The result…

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

Problem

With a=(1,−1,2)\mathbf a=(1,-1,2) and b=(2,0,−1)\mathbf b=(2,0,-1), evaluate (2a−b)×(a+3b)(2\mathbf a-\mathbf b)\times(\mathbf a+3\mathbf b). The result is (a) 7i^−35j^+14k^7\hat{i}-35\hat{j}+14\hat{k} (b) 7i^+35j^+14k^7\hat{i}+35\hat{j}+14\hat{k} (c) −7i^−35j^−14k^-7\hat{i}-35\hat{j}-14\hat{k} (d) 5i^+25j^+10k^5\hat{i}+25\hat{j}+10\hat{k}

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