Find the value of `' p '` for which the vectors `3 hat i+2 hat j+9 hat k\ a n d\ hat i-2p hat j+3 hat k` are parallel.

Explanation

To find the value of \( p \) for which the vectors \( \mathbf{A} = 3\hat{i} + 2\hat{j} + 9\hat{k} \) and \( \mathbf{B} = \hat{i} - 2p\hat{j} + 3\hat{k} \) are parallel, we can use the property that two vectors are parallel if their direction ratios are proportional.

### Step-by-Step Solution:

1. **Identify the vectors:**
\[ \mathbf{A} = 3\hat{i} + 2\hat{j} + 9\hat{k} \]
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