Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

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:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (3) → $\frac{\sqrt{328}}{7}$