The unit vector which is orthogonal to the vector and is coplanar with the vectors and is

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

Problem

The unit vector which is orthogonal to the vector 3i^+2j^+6k^3\hat{i} + 2\hat{j} + 6\hat{k} and is coplanar with the vectors 2i^+j^+k^2\hat{i} + \hat{j} + \hat{k} and i^−j^+k^\hat{i} - \hat{j} + \hat{k} is (1) 2i^−6j^+k^41\frac{2\hat{i} - 6\hat{j} + \hat{k}}{\sqrt{41}} (2) 2i^−3j^13\frac{2\hat{i} - 3\hat{j}}{\sqrt{13}} (3) 3j^−k^10\frac{3\hat{j} - \hat{k}}{\sqrt{10}} (4) 4i^+3j^−3k^34\frac{4\hat{i} + 3\hat{j} - 3\hat{k}}{\sqrt{34}}

Related theory

Browse the problem library