If the vectors i = i - j +2 k , b =2 i - j +2 k _ i and c = i + j + k _ i are mutually…
Mathematics · JEE Main · NTA Exams — Vector Algebra
If the vectors \(\overrightarrow{\mathbf{i}}=\hat{i}-\hat{j}+2 \hat{\mathbf{k}}, \overrightarrow{\mathbf{b}}=2 \hat{i}-\hat{j}+2 \hat{\mathbf{k}}_{i} \text { and } \overrightarrow{\mathbf{c}}=\lambda \hat{i}+\hat{j}+\mu \hat{\mathbf{k}}_{i}\) are mutually orthogonal, then \((\lambda, \mu)\) equals :
- \(\left(2,-\frac{1}{2}\right)\)
- \(\left(0, \frac{1}{2}\right)\)
- \((3,-2)\)
- \(\left(-\frac{1}{2}, 2\right)\)
Answer
(B) (0, 1 2 )
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