Find the distance between the lines `l_1` and `l_2` given by
`r_1= hat i+2 hat j-4k+lambda(2 hat i+3 hat j+6 hat k)`and `r_2=3 hat i+3 hat j-5k+mu(2 hat i+3 hat j+6 hat k)`.

Explanation

To find the distance between the lines \( l_1 \) and \( l_2 \), we will follow these steps:

### Step 1: Identify the position vectors and direction vectors of the lines

The given lines are:
- \( l_1: \mathbf{r_1} = \hat{i} + 2\hat{j} - 4\hat{k} + \lambda(2\hat{i} + 3\hat{j} + 6\hat{k}) \)
- \( l_2: \mathbf{r_2} = 3\hat{i} + 3\hat{j} - 5\hat{k} + \mu(2\hat{i} + 3\hat{j} + 6\hat{k}) \)

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