JEE Main & Advanced
Mathematics
Vector Algebra
Question Bank
Application of vectors in three dimensional geometry
question_answer
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]
A) 9 : 1
B) 1 : 9
C) ?1 : 9
D) ? 9 : 1
Correct Answer:
D
Solution :
Required ratio = \[-\left( \frac{{{x}_{1}}}{{{x}_{2}}} \right)=\frac{-9}{1}\]i.e., ? 9 : 1.