TS EAMCET · Maths · Vector Algebra
A unit vector coplanar with \(\mathbf{i}+\mathbf{j}+3 \mathbf{k}\) and \(\mathbf{i}+3 \mathbf{j}+\mathbf{k}\) and perpendicular to \(\mathbf{i}+\mathbf{j}+\mathbf{k}\) is
- A \(\frac{1}{\sqrt{2}}(\mathbf{j}+\mathbf{k})\)
- B \(\frac{1}{\sqrt{3}}(\mathbf{i}-\mathbf{j}+\mathbf{k})\)
- C \(\frac{1}{\sqrt{2}}(\mathbf{j}-\mathbf{k})\)
- D \(\frac{1}{\sqrt{3}}(\mathbf{i}+\mathbf{j}-\mathbf{k})\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{\sqrt{2}}(\mathbf{j}-\mathbf{k})\)
Step-by-step Solution
Detailed explanation
Let the unit vector be…
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