Find the vector equation of a line through the point (5, 2, -4) and which is parallel to the vector
`3 hat(i) + 2 hat(j) - 8hatk ?`

Explanation

To find the vector equation of a line through the point \( (5, 2, -4) \) and parallel to the vector \( \mathbf{b} = 3\hat{i} + 2\hat{j} - 8\hat{k} \), we can follow these steps:

### Step 1: Identify the position vector
The position vector \( \mathbf{a} \) of the point \( (5, 2, -4) \) can be expressed as:
\[ \mathbf{a} = 5\hat{i} + 2\hat{j} - 4\hat{k} \]

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