If ` vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i` find the unit vector in the direction of ` vec a+ vec b+ vec c`

Explanation

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

### Step 1: Define the vectors
Given:
- \( \vec{a} = \hat{i} + \hat{j} \)
- \( \vec{b} = \hat{j} + \hat{k} \)
- \( \vec{c} = \hat{k} + \hat{i} \)

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