Answer: |d| / sqrt(a 2 +b 2 +c 2 ).
- A d
- B d / (a+b+c)
- C |d| / sqrt(a<sup>2</sup>+b<sup>2</sup>+c<sup>2</sup>)
- D sqrt(a<sup>2</sup>+b<sup>2</sup>+c<sup>2</sup>)
Correct answer: C. |d| / sqrt(a<sup>2</sup>+b<sup>2</sup>+c<sup>2</sup>)
Explanation: Distance from origin to plane ax + by + cz = d is |d| / sqrt(a<sup>2</sup> + b<sup>2</sup> + c<sup>2</sup>).
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