Answer: (1.5,2,2.5).
- A (3,4,5)
- B (1,2,3)
- C (3/5,4/5,1)
- D (1.5,2,2.5)
Correct answer: D. (1.5,2,2.5)
Explanation: Normal direction is (3,4,5). Point on normal from origin: (3t,4t,5t). Substitute: 9t+16t+25t=25, t=1/2. Foot = (3/2, 2, 5/2) = (1.5,2,2.5).
Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.
Concept context
Lines and planes in 3D space, direction cosines, distances, and angles