The angle between the line (\overrightarrow{r}=\hat{i}+2\hat... | Mathematics | SolveeIt

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

$\sin^{-1}(\frac{1}{196})$

$\sin^{-1}(\frac{1}{14})$

$\cos^{-1}(\frac{1}{14})$

$\cos^{-1}(\frac{13}{14})$

$\sin^{-1}(\frac{13}{14})$

Answer

$\sin^{-1}(\frac{1}{14})$

Explanation

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

Mathematics Question on Vector Algebra