If two vectors are `A = 2hati + hatj - hatk and B = hatj - 4hatk.` By calculation, prove AxxB isperpendicular to both A and B.

Explanation

To prove that the cross product of two vectors \( A \) and \( B \) is perpendicular to both \( A \) and \( B \), we will follow these steps:

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