Find the unit vector in the direction of sum of vectors `veca=hat2i-hatj+hatk` and `vecb=2hatj+hatk.`

Explanation

To find the unit vector in the direction of the sum of the vectors \(\vec{a} = 2\hat{i} - \hat{j} + \hat{k}\) and \(\vec{b} = 2\hat{j} + \hat{k}\), we will follow these steps:

### Step 1: Find the sum of the vectors \(\vec{a}\) and \(\vec{b}\).

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

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