ID: Class: 12 Subject: Math Topic: Three Dimensional Geometry Type: Short (SA) Year: 2025

Question:

Find the shortest distance between the lines: \(\vec{r}=(2\hat{i}-\hat{j}+3\hat{k})+\lambda(\hat{i}-2\hat{j}+3\hat{k})\) and \(\vec{r}=(\hat{i}+4\hat{k})+\mu(3\hat{i}-6\hat{j}+9\hat{k}).\)