Shown that the vectors `3 hati+3 hatj+9hatk and hati+hatj+3hatk` are parallel.

Explanation

To show that the vectors \( \vec{A} = 3\hat{i} + 3\hat{j} + 9\hat{k} \) and \( \vec{B} = \hat{i} + \hat{j} + 3\hat{k} \) are parallel, we can use the concept of the cross product. If the cross product of two vectors is zero, then the vectors are parallel.

### Step-by-Step Solution:

1. **Identify the Vectors**:
- Let \( \vec{A} = 3\hat{i} + 3\hat{j} + 9\hat{k} \)
- Let \( \vec{B} = \hat{i} + \hat{j} + 3\hat{k} \)

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