Question:

The angle between the line \(\overrightarrow{r}=\hat{i}+2\hat{j}+t(3\hat{i}+2\hat{j}-\hat{k})\) and the plane 2x-3y-z=1 is

Updated On: Jun 10, 2024
  • \(\sin^{-1}(\frac{1}{196})\)
  • \(\sin^{-1}(\frac{1}{14})\)
  • \(\cos^{-1}(\frac{1}{14})\)
  • \(\cos^{-1}(\frac{13}{14})\)
  • \(\sin^{-1}(\frac{13}{14})\)
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The Correct Option is B

Solution and Explanation

The correct option is (B): \(\sin^{-1}(\frac{1}{14})\)
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