If ` vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=2 hat i+4 hat j+9 hat k` find a unit vector parallel to ` vec a+ vec bdot`

Explanation

To find a unit vector parallel to the vector \( \vec{a} + \vec{b} \), we will follow these steps:

### Step 1: Define the vectors
Given:
\[ \vec{a} = \hat{i} + 2\hat{j} - 3\hat{k} \]
\[
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