Answer: |(c-a).(b x d)| / |b x d|.
- A |(a-c) . b|
- B |(c-a).(b x d)| / |b x d|
- C |(a-c) x (b+d)| / |b+d|
- D |(c-a) x d|
Correct answer: B. |(c-a).(b x d)| / |b x d|
Explanation: Shortest distance between skew lines = |(c-a).(b x d)| / |b x d|. The numerator uses the scalar triple product.
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