Determine whether the following pair of lines intersect or not. i. `vecr=hati-hatj+lamda(2hati+hatk), vecr=2hati-hatj+mu(hati+hatj-hatk)`

Explanation

To determine whether the given pair of lines intersect, we will analyze the vector equations of the lines step by step.

### Given Lines:
1. Line 1: \(\vec{r} = \hat{i} - \hat{j} + \lambda(2\hat{i} + \hat{k})\)
2. Line 2: \(\vec{r} = 2\hat{i} - \hat{j} + \mu(\hat{i} + \hat{j} - \hat{k})\)

### Step 1: Express the lines in parametric form
For Line 1:
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