If the volume of a parallelepiped whose adjacent edges are is 15

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

Problem

If the volume of a parallelepiped whose adjacent edges are a=2i^+3j^+4k^,b=i^+αj^+2k^,c=i^+2j^+αk^a = 2\hat{i} + 3\hat{j} + 4\hat{k}, b = \hat{i} + \alpha\hat{j} + 2\hat{k}, c = \hat{i} + 2\hat{j} + \alpha\hat{k} is 15, then find the value of α\alpha , where α>0\alpha > 0 .

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