Answer: 1/6.
- A 1/6
- B 1/3
- C 1/2
- D 1
Correct answer: A. 1/6
Explanation: Rewrite second plane: divide by 2 → 2x−2y+z+5/2=0. Both planes have normal (2,−2,1). Distance = |d₁−d₂|/|n| = |3−5/2|/√(4+4+1) = (1/2)/3 = 1/6. Answer: 1/6.
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