If `vecA=2veci-3vecj+7veck, vecB=veci+2veck and vecC=vecj-veck` find `vecA.(vecBxxvecC)`.

Explanation

To solve the problem of finding \(\vec{A} \cdot (\vec{B} \times \vec{C})\), we will follow these steps:

### Step 1: Write down the vectors
We have the following vectors:
\[ \vec{A} = 2\hat{i} - 3\hat{j} + 7\hat{k} \]
\[
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