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

Explanation

To solve the problem, we need to find the unit vector in the direction of the vector \( \vec{a} + \vec{b} \).

### Step-by-Step Solution:

1. **Identify the given vectors**:
\[ \vec{a} = 2\hat{i} - \hat{j} + 2\hat{k} \]
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