Answer: |d| / sqrt(a2+b2+c2).
- A d
- B d / (a+b+c)
- C |d| / sqrt(a2+b2+c2)
- D sqrt(a2+b2+c2)
Correct answer: C. |d| / sqrt(a2+b2+c2)
Explanation: Distance from origin to plane ax + by + cz = d is |d| / sqrt(a2 + b2 + c2).
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