The position vectors of points A and B w.r.t. the origin are `veca=hati+3hatj-2hatk and vecb=3hati+hatj -2hatk`, respectively. Determine vector `vec(OP)` which bisects angle `AOB`, where P is a point on AB.

Explanation

To determine the vector \(\vec{OP}\) that bisects the angle \(AOB\), we will follow these steps:

### Step 1: Identify the position vectors of points A and B
The position vectors are given as:
\[ \vec{a} = \hat{i} + 3\hat{j} - 2\hat{k} \]
\[
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