What are the direction ratios of a line M parallel to the plane P ?
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. < -3, 2, 1 >
- B. < 3, 2, -6 >
- C. < 1, 3, 2 >
- D. < 2, 2, -10 > ✓
Correct Answer: D. < 2, 2, -10 >
Explanation
For a line to be parallel to a plane, the dot product of its direction ratios and the plane's normal (2, 3, 1) must be zero. The vector < 2, 2, -10 > satisfies 2(2) + 3(2) + 1(-10) = 0.
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