AP EAMCET · Maths · Vector Algebra
A unit vector orthogonal to the vector \(3 \bar{i}+4 \bar{j}+5 \bar{k}\) and coplanar with the vectors \(\bar{i}+\bar{j}+\bar{k}\) and \(\bar{i}-\bar{j}+\bar{k}\) is
- A \(\frac{1}{5}(4 \bar{i}-3 \bar{j})\)
- B \(\frac{1}{\sqrt{11}}(3 \bar{i}-\bar{j}-\bar{k})\)
- C \(\frac{1}{3}(2 \bar{i}+\bar{j}-2 \bar{k})\)
- D \(\frac{1}{\sqrt{6}}(\bar{i}-2 \bar{j}+\bar{k})\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{\sqrt{6}}(\bar{i}-2 \bar{j}+\bar{k})\)
Step-by-step Solution
Detailed explanation
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