Answer: AB x AC = 0 (zero vector).
- A AB . AC = 0, the dot product condition
- B AB + AC = 0, a vector sum condition
- C AB x AC = 0 (zero vector)
- D AB = BC, equal vector magnitudes
Correct answer: C. AB x AC = 0 (zero vector)
Explanation: A, B, C are collinear if vector AB and vector AC are parallel, i.e., AB x AC = zero vector.
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