If , , , then the area (in sq units) of parallelogram with diagonals and will…

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

Problem

If a=2i^−3j^+k^\mathbf{a} = 2\hat{i} - 3\hat{j} + \hat{k} , b=−i^+k^\mathbf{b} = -\hat{i} + \hat{k} , c=2j^−k^\mathbf{c} = 2\hat{j} - \hat{k} , then the area (in sq units) of parallelogram with diagonals a+b\mathbf{a} + \mathbf{b} and b+c\mathbf{b} + \mathbf{c} will be (1) 21\sqrt{21} (2) 2212\sqrt{21} (3) 1221\frac{1}{2}\sqrt{21} (4) None of these

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