Determine a unit vector whoch is perpendicular to both
` vec A =2 hat I + hat j + hat k`
and ` vec B = hat I - hat j +2 hat k`.

Explanation

To find a unit vector that is perpendicular to both vectors \( \vec{A} \) and \( \vec{B} \), we will follow these steps:

### Step 1: Write down the given vectors
The vectors are given as:
\[ \vec{A} = 2\hat{i} + \hat{j} + \hat{k} \]
\[
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