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} $