Show that the vectors `vec(A) = 2 hat(i) - 3 hat(j)-1hat(k) and vec(B) = - 6hat(i) +9 hat(j) +3 hat(k)` are parallel .

Explanation

To show that the vectors \(\vec{A} = 2 \hat{i} - 3 \hat{j} - 1 \hat{k}\) and \(\vec{B} = -6 \hat{i} + 9 \hat{j} + 3 \hat{k}\) are parallel, we can use the property that two vectors are parallel if their cross product is zero.

### Step-by-Step Solution:

1. **Write down the vectors**:
\[ \vec{A} = 2 \hat{i} - 3 \hat{j} - 1 \hat{k} \]
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