Vector Algebra Question 248
Question: The position vector of a point C with respect to B is $ \mathbf{i}+\mathbf{j} $ and that of B with respect to A is $ \mathbf{i}-\mathbf{j}. $ The position vector of C with respect to A is
[MP PET 1989]
Options:
A) 2 i
B) 2 j
C) 2 j
D) 2 i
Show Answer
Answer:
Correct Answer: A
Solution:
- Since position vector of a point $ C $ with respect to $ B $ is $ \overrightarrow{BC}=\mathbf{i}+\mathbf{j} $ ?..(i) Similarly, $ \overrightarrow{AB}=\mathbf{i}-\mathbf{j} $ ?..(ii) Now by (i) and (ii), $ \overrightarrow{AC}=\overrightarrow{AB}+\overrightarrow{BC}=2\mathbf{i}. $
BETA
