📐 Mathematics · Introduction to Three Dimensional Geometry · JEE

The point that divides the join of (1, −2, 3) and (3, 4, −5) internally in the ratio 1 : 3 is:

Answer: (3/2, −1/2, 1).

Correct answer: B. (3/2, −1/2, 1)

Explanation: With m = 1, n = 3: x = (3 + 3)/4 = 3/2, y = (4 − 6)/4 = −1/2, z = (−5 + 9)/4 = 1.

Concept context

Coordinate axes and planes in space, octants, distance between two points, and the section formula