Vector Algebra Question 138

Question: If the position vectors of two point P and Q are respectively $ 9\mathbf{i}-\mathbf{j}+5\mathbf{k} $ and $ \mathbf{i}+3\mathbf{j}+5\mathbf{k} $ , and the line segment PQ intersects the YOZ plane at a point R, the PR : RQ is equal to

[J & K 2005]

Options:

A) 9 : 1

B) 1 : 9

C) ?1 : 9

D) ? 9 : 1

Show Answer

Answer:

Correct Answer: D

Solution:

  • Required ratio = $ -( \frac{x_1}{x_2} )=\frac{-9}{1} $ i.e., ? 9 : 1.