Question:
The angle between the lines \(\overrightarrow{r}=\hat{i}+4\hat{k}+\lambda(2\hat{i}+\hat{j}-\hat{k})\) and \(\overrightarrow{r}=2\hat{i}-\hat{j}+3\hat{k}+\mu(3\hat{i}+\hat{k})\) is
The angle between the lines \(\overrightarrow{r}=\hat{i}+4\hat{k}+\lambda(2\hat{i}+\hat{j}-\hat{k})\) and \(\overrightarrow{r}=2\hat{i}-\hat{j}+3\hat{k}+\mu(3\hat{i}+\hat{k})\) is
Updated On: Jun 10, 2024
- \(\cos^{-1}(\frac{\sqrt{5}}{6})\)
- \(\cos^{-1}(\frac{\sqrt{15}}{6})\)
- \(\cos^{-1}(\frac{1}{12})\)
- \(\cos^{-1}(\frac{\sqrt{15}}{15})\)
- \(\cos^{-1}(\frac{\sqrt{3}}{30})\)
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The Correct Option is B
Solution and Explanation
The correct option is (B): \(\cos^{-1}(\frac{\sqrt{15}}{6})\)
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