Answer: (4,-2,4).
- A (2,-1,2)
- B (4/3,-2/3,4/3)
- C (4,-2,4)
- D (1,-1/2,1)
Correct answer: C. (4,-2,4)
Explanation: The foot of perpendicular from origin: normal direction (2,-1,2). Point on normal: (2t,-t,2t). On plane: 4t+t+4t=9t=9, t=1. Foot=(2,-1,2). Image = 2*foot - origin = (4,-2,4).
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