Show that the vector `A = (hati) - (hatj) + 2 hatk` is parallel to a vector `B = 3hati - 3hat + 6hatk`.

Explanation

To show that the vector \( \mathbf{A} = \hat{i} - \hat{j} + 2\hat{k} \) is parallel to the vector \( \mathbf{B} = 3\hat{i} - 3\hat{j} + 6\hat{k} \), we need to demonstrate that one vector can be expressed as a scalar multiple of the other.

### Step-by-Step Solution:

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