JEE Mains · Maths · STD 12 - 10. vector algebra
The magnitude of the projection of the vector \(2\hat i + 3\hat j + \hat k\) on the vector perpendicular to the plane containing the vectors \(\hat i + \hat j + \hat k\) and \(\hat i + 2\hat j + 3\hat k\) is
- A \(3\sqrt 6 \)
- B \(\frac{{\sqrt 3 }}{2}\)
- C \(\sqrt 6 \)
- D \(\sqrt {\frac{3}{2}} \)
Answer & Solution
Correct Answer
(D) \(\sqrt {\frac{3}{2}} \)
Step-by-step Solution
Detailed explanation
Vector perpendicular to plane containing the vectors \(\hat{i}+\hat{j}+\hat{k} d \hat{i}+2 \hat{j}+3 \hat{k}\) is parallel to vector \( = \left| {\begin{array}{*{20}{l}} {\hat i}&{\hat j}&{\hat k}\\ 1&1&1\\ 1&2&3 \end{array}} \right| = \hat i - 2\hat j + \hat k\) Required…
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