📐 Mathematics · Three Dimensional Geometry · JEE

The lines (x−1)/2 = (y−2)/3 = (z−3)/4 and (x−2)/3 = (y−3)/4 = (z−4)/5 are:

Answer: coplanar.

Correct answer: B. coplanar

Explanation: The scalar triple product of (1,1,1), (2,3,4) and (3,4,5) is 0, so the lines are coplanar.

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