Find the direction ratios of a vector perpendicular to the two lines whose direction ratios are `-2, 1, -1 and -3, -4, 1`.

Explanation

To find the direction ratios of a vector that is perpendicular to the two given lines with direction ratios \((-2, 1, -1)\) and \((-3, -4, 1)\), we can use the concept of the cross product of vectors.

### Step-by-Step Solution:

1. **Identify the Direction Ratios**:
- Let the direction ratios of the first line be \( \mathbf{d_1} = (-2, 1, -1) \).
- Let the direction ratios of the second line be \( \mathbf{d_2} = (-3, -4, 1) \).

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