Vector Algebra Question 266

Question: If position vector of points A, B, C are respectively i, j, k and $ AB=CX, $ then position vector of point X is

[MP PET 1994]

Options:

A) $ -,\mathbf{i}+\mathbf{j}+\mathbf{k} $

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

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

D) $ \mathbf{i}+\mathbf{j}+\mathbf{k} $

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Answer:

Correct Answer: A

Solution:

  • $ \overrightarrow{AB}=\overrightarrow{CX}\Rightarrow \mathbf{j}-\mathbf{i}=P\text{.V}\text{.},of,X-\mathbf{k}\Rightarrow P\text{.V}\text{.},of,X=-\mathbf{i}+\mathbf{j}+\mathbf{k} $