Let the position vectors of the points P, Q, R and S be a = i + 2 j - 5 k , b = 3 i + 6 j + 3 k , c = 17 5 i + 16 5 j + 7 k and d = 2 i + j + k , respectively. Then which of the following statements is true?

JEE Advanced 2023 Mathematics question

Let the position vectors of the points , , and be , , and , respectively. Then which of the following statements is true?

(A)The points , , and are **NOT** coplanar
(B) is the position vector of a point which divides internally in the ratio Correct
(C) is the position vector of a point which divides externally in the ratio
(D)The square of the magnitude of the vector is 95

Answer: (B)

, and the point dividing PR internally in is – (B) true, so (C)

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-034116