What is the unit vector perpendicular to the plane of vectors `vecA and vecB`? If `vecA=hati+2hatj-hatk and vecB=2hati+hatk`, find a unit vector perpendicular to plane of `vecA and vecB`.

Explanation

To find a unit vector that is perpendicular to the plane formed by the vectors \(\vec{A}\) and \(\vec{B}\), we can use the cross product of the two vectors. Here are the steps to solve the problem:

### Step 1: Define the vectors
Given:
\[ \vec{A} = \hat{i} + 2\hat{j} - \hat{k} \]
\[
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