Vector Algebra Question 291

Question: If the position vectors of the points A and B be $ 2,\mathbf{i}+3,\mathbf{j}-\mathbf{k} $ and $ -2,\mathbf{i}+3,\mathbf{j}+4,\mathbf{k}, $ then the line AB is parallel to

Options:

A) xy-plane

B) yz-plane

C) zx-plane

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \overrightarrow{AB}=-4\mathbf{i}+5\mathbf{k} $ , which is a vector lying in a plane parallel to $ xz- $ plane.