Mathematics

Mathematics

Problem

If a=i^+2j^−2k^\mathbf{a} = \hat{i} + 2\hat{j} - 2\hat{k} , b=2i^−j^+k^\mathbf{b} = 2\hat{i} - \hat{j} + \hat{k} and c=i^+3j^−k^\mathbf{c} = \hat{i} + 3\hat{j} - \hat{k} , then a×(b×c)\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) is equal to a. 20i^−3j^+7k^20\hat{i} - 3\hat{j} + 7\hat{k} b. 20i^−3j^−7k^20\hat{i} - 3\hat{j} - 7\hat{k} c. 20i^+3j^−7k^20\hat{i} + 3\hat{j} - 7\hat{k} d. None of the above

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