If `veca=hati+hatj+2hatkandvecb=2hati+hatj-2hatk`, then find the unit vector in the direction of
(i) `6vecb` (ii) `2veca-vecb`

Explanation

To solve the problem step by step, we will find the unit vector in the direction of \(6\vec{b}\) and \(2\vec{a} - \vec{b}\).

### Given:
\[ \vec{a} = \hat{i} + \hat{j} + 2\hat{k} \]
\[
\vec{b} = 2\hat{i} + \hat{j} - 2\hat{k}
...