Find a vector perpendicular to vector `vecA=(hati+2hatj-3hatk)` as well as `vecB=(hati+hatj-hatk)`

Explanation

To find a vector that is perpendicular to both vectors \(\vec{A} = \hat{i} + 2\hat{j} - 3\hat{k}\) and \(\vec{B} = \hat{i} + \hat{j} - \hat{k}\), we can use the cross product of these two vectors. Here’s a step-by-step solution:

### Step 1: Write down the vectors
We have:
\[ \vec{A} = \hat{i} + 2\hat{j} - 3\hat{k} \]
\[
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