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