CUET CUET Mathematics 2024 - The distance between the lines r=i-2 j+3 k+(2 i+3 j+6 k) and r=3 i-2 j+1 k+(4 i+6 j+12 k) is : | PYQs + Solutions

CUET Mathematics 2024

Algebra

Vector Algebra

Medium

The distance between the lines $\vec{r}=\hat{i}-2 \hat{j}+3 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k})$ and $\vec{r}=3 \hat{i}-2 \hat{j}+1 \hat{k}+\mu(4 \hat{i}+6 \hat{j}+12 \hat{k})$ is :

\frac{\sqrt{28}}{7}

\frac{\sqrt{199}}{7}

\frac{\sqrt{328}}{7}

\frac{\sqrt{421}}{7}

Correct Option: 3

Will be added.