Find a vector of magnitude 5 units, and parallel to the resultant of the vectors
`" "veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk`.

Explanation

To solve the problem of finding a vector of magnitude 5 units that is parallel to the resultant of the vectors \( \vec{a} = 2\hat{i} + 3\hat{j} - \hat{k} \) and \( \vec{b} = \hat{i} - 2\hat{j} + \hat{k} \), we can follow these steps:

### Step 1: Find the resultant vector \( \vec{c} \)
The resultant vector \( \vec{c} \) can be found by adding the vectors \( \vec{a} \) and \( \vec{b} \):

\[ \vec{c} = \vec{a} + \vec{b} \]
...