Practicing Success
The angle between the pair of straight lines given by $\vec{r}=(3 \hat{i}+2 \hat{j}-4 \hat{k})+\lambda(\hat{i}+2 \hat{j}+2 \hat{k})$ and $\vec{r}=5 \hat{i}-2 \hat{j}+\mu(3 \hat{i}+2 \hat{j}+6 \hat{k})$ is: |
$\cos ^{-1}\left(\frac{19}{21}\right)$ $\cos ^{-1}\left(\frac{17}{21}\right)$ $\cos ^{-1}\left(\frac{11}{21}\right)$ $\cos ^{-1}\left(\frac{7}{21}\right)$ |
$\cos ^{-1}\left(\frac{19}{21}\right)$ |
The correct answer is Option (1) - $\cos ^{-1}\left(\frac{19}{21}\right)$ |