JEE Mains · Maths · STD 12 - 10. vector algebra
Let \(O\) be the origin and the position vector of \(A\) and \(B\) be \(2 \hat{i}+2 \hat{j}+\hat{k}\) and \(2 \hat{i}+4 \hat{j}+4 \hat{k}\) respectively. If the internal bisector of \(\angle A O B\) meets the line \(A B\) at \(\mathrm{C}\), then the length of \(\mathrm{OC}\) is
- A \(\frac{2}{3} \sqrt{31}\)
- B \(\frac{2}{3} \sqrt{34}\)
- C \(\frac{3}{4} \sqrt{34}\)
- D \(\frac{3}{2} \sqrt{31}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{3} \sqrt{34}\)
Step-by-step Solution
Detailed explanation
Lengh of \(O C=\frac{\sqrt{136}}{3}=\frac{2 \sqrt{34}}{3}\)
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