Practice Direction Ratios of a Line - Class 12th Hindi Medium Offered by Unacademy

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Direction Ratios of a Line

Quick practice

Question 1 of 5

Find the sine of the angle between the planes $\vec{r} \cdot(2 \hat{i}+\hat{j}-2 \hat{k})=17$ and $\vec{r} \cdot(5 \hat{i}+2 \hat{j}-\hat{k})=3 .$

A

$\sin \theta=\sqrt{\frac{244}{20}}$

B

$\sin \theta=\frac{1}{3} \sqrt{\frac{37}{15}}$

C

$\sin \theta=\sqrt{\frac{60}{70}}$

D

$\sin \theta=\frac{1}{2} \sqrt{\frac{63}{217}}$