The vector is perpendicular to the vectors

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

Problem

The vector c\mathbf{c} is perpendicular to the vectors a=(2,−3,1)\mathbf{a} = (2, -3, 1) , b=(1,−2,3)\mathbf{b} = (1, -2, 3) and satisfies the condition c⋅(i^+2j^−7k^)=10\mathbf{c} \cdot (\hat{i} + 2\hat{j} - 7\hat{k}) = 10 . Then, the vector c\mathbf{c} is equal to (1) (7,5,1)(7, 5, 1) (2) (−7,−5,−1)(-7, -5, -1) (3) (1,1,−1)(1, 1, -1) (4) None of these

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