(i) Find the unit vector in the direction of `veca+vecb` if `veca=2hati-hatj+2hatk`, and `vecb=-hati+hatj-hatk` (ii) Find the direction ratios and direction cosines of the vector `veca=5hati+3hatj-4hatk`.

Explanation

Let's solve the problem step by step.

### Part (i): Find the unit vector in the direction of \(\vec{a} + \vec{b}\)

1. **Given Vectors**:
\[ \vec{a} = 2\hat{i} - \hat{j} + 2\hat{k} \]
...