Teaching AP DSC School Assistant 2025 Mock Test Series Mathematics Mathematics Three Dimensional Geometry
The distance between the lines \(\rm \vec{r}=\hat{i}-2 \hat{j}+3 \hat{k}+\lambda(2 \hat{i}+3 \hat{j}+6 \hat{k})\) and \(\rm \vec{r}=3 \hat{i}-2 \hat{j}+1 \hat{k}+\mu(4 \hat{i}+6 \hat{j}+12 \hat{k})\) is :
1
\( \frac{\sqrt{28}}{7}\)
2
\(\frac{\sqrt{199}}{7}\)
3
\( \frac{\sqrt{328}}{7}\)
4
\( \frac{\sqrt{421}}{7}\)