If A, B, C and D are the points with position vectors `hati-hatj+hatk,2hati-hatj+3hatk,2hati-3hatkand3hati-2hatj+hatk` respectively, then find the projection of `vec(AB)andvec(CD)`.

Explanation

To solve the problem, we need to find the projection of the vector \( \vec{AB} \) onto the vector \( \vec{CD} \). Here are the steps to solve the problem:

### Step 1: Identify the position vectors
We are given the position vectors of points A, B, C, and D:
- \( \vec{A} = \hat{i} - \hat{j} + \hat{k} \)
- \( \vec{B} = 2\hat{i} - \hat{j} + 3\hat{k} \)
- \( \vec{C} = 2\hat{i} - 3\hat{k} \)
- \( \vec{D} = 3\hat{i} - 2\hat{j} + \hat{k} \)
...