Show that the two vectors `vec(A) and vec(B)` are parallel , where `vec(A) = hat(i) + 2 hat(j) + hat(k) and vec(B) = 3 hat(i) + 6 hat(j) + 3 hat(k)`

Explanation

To show that the two vectors \(\vec{A}\) and \(\vec{B}\) are parallel, we can follow these steps:

### Step 1: Define the vectors
We have:
\[ \vec{A} = \hat{i} + 2\hat{j} + \hat{k} \]
\[
...