If `vecr=(hati+2hatj+3hatk)+lamda(hati-hatj+hatk) and vecr=(hati+2hatj+3hatk)+mu(hati+hatj-hatk)` are two lines, then find the equation of acute angle bisector of two lines.

Explanation

To find the equation of the acute angle bisector of the two given lines, we will follow these steps:

### Step 1: Identify the position vector and direction vectors of the lines
The first line is given by:
\[ \vec{r} = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda(\hat{i} - \hat{j} + \hat{k}) \]
From this, we can identify:
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