What is the equation of the line L ?
For the next two (02) items that follow : A line L passing through the point (-1, 2, -3) is perpendicular to the plane P given by 2x + 3y + z + 5 = 0.
- A. 1 - x = y + 2 = 3 - z
- B. -(x + 1) = y - 2 = z + 3
- C. 3x + 3 = 2y - 4 = 6z + 18 ✓
- D. 3x - 3 = 2y + 4 = 6z - 18
Correct Answer: C. 3x + 3 = 2y - 4 = 6z + 18
Explanation
The direction ratios of the line are proportional to the normal of the plane (2, 3, 1). Option (c) simplifies exactly to \( \frac{x+1}{2} = \frac{y-2}{3} = \frac{z+3}{1} \), matching the line's standard equation.
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