Show that `vecA=2hati-hatj+2hatkandvecB=2hati+2hatj-hatk` are perpendicular to each other.

Explanation

To show that the vectors \(\vec{A} = 2\hat{i} - \hat{j} + 2\hat{k}\) and \(\vec{B} = 2\hat{i} + 2\hat{j} - \hat{k}\) are perpendicular to each other, we will use the concept of the dot product. Two vectors are perpendicular if their dot product is zero.

### Step-by-step Solution:

1. **Write down the vectors:**
\[ \vec{A} = 2\hat{i} - \hat{j} + 2\hat{k} \]
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