Show that the line
`vecr = (hati+hatj-hatk)+lambda(3hati-hatj)`
`vecr = (4hati-hatk)+mu(2hati+3hatk)` are coplanar. Also find the equation of plane in which these lines lie.

Explanation

To show that the lines given by the vector equations are coplanar and to find the equation of the plane in which they lie, we can follow these steps:

### Step 1: Identify the lines and their parameters
The two lines are given by:
1. \(\vec{r_1} = \hat{i} + \hat{j} - \hat{k} + \lambda(3\hat{i} - \hat{j})\)
2. \(\vec{r_2} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k})\)

From these equations, we can identify:
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