AP EAMCET · Maths · Vector Algebra
Let \(\overline{O A}=-4 \bar{i}+3 \bar{k}, \overline{O B}=14 \bar{i}+2 \bar{j}-5 \bar{k} \cdot \overline{O D}\) bisects \(\angle A O B\) and \(|\overline{O D}|=\sqrt{6}\), then \(\overline{O D}=\)
- A \(\pm(\bar{i}+\bar{j}+2 \bar{k})\)
- B \(\pm(\bar{i}+2 \bar{j}+\bar{k})\)
- C \(\pm(2 \bar{i}+\bar{j}+\bar{k})\)
- D \(\pm \frac{1}{\sqrt{2}}(2 \bar{i}+\bar{j}+\sqrt{7} \bar{k})\)
Answer & Solution
Correct Answer
(A) \(\pm(\bar{i}+\bar{j}+2 \bar{k})\)
Step-by-step Solution
Detailed explanation
Considering \(\overrightarrow{O A}\) and \(\overrightarrow{O B}\) as adjacent sides of a parallogram. \(\overrightarrow{O D}\) will be along diagonal. Equation of diagonal…
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