Answer: Their scalar triple product is zero.
- A They are all equal in both magnitude and direction
- B Their vector sum adds up to exactly zero
- C Their scalar triple product is zero
- D They are all normalized to unit length vectors
Correct answer: C. Their scalar triple product is zero
Explanation: Four points A, B, C, D are coplanar iff vectors AB, AC, AD are coplanar, which means their scalar triple product AB.(AC x AD) = 0.
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