For given vectors, ` -> a=2 hat i- hat j+2 hat k`and ` -> b=- hat i+ hat j- hat k`find the unit vector in the direction of the vector ` -> a+ -> b`.

Explanation

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

### Step 1: Write down the given vectors
We have:
\[ \vec{a} = 2\hat{i} - \hat{j} + 2\hat{k} \]
\[
...