Vector Algebra Question 150

Question: If two vertices of a triangle are $ \mathbf{i}-\mathbf{j} $ and $ \mathbf{j}+\mathbf{k} $ , then the third vertex can be

[Roorkee 1995]

Options:

A) $ \mathbf{i}+\mathbf{k} $

B) $ \mathbf{i}-2\mathbf{j}-\mathbf{k} $

C) $ \mathbf{i}-\mathbf{k} $

D) $ 2\mathbf{i}-\mathbf{j} $

Show Answer

Answer:

Correct Answer: E

Solution:

  • Since, no vector given in options is collinear with the given vectors. Therefore all vectors can be third vertex of the triangle.