Vector Algebra Question 234
Question: The position vectors of A and B are $ \mathbf{i}-\mathbf{j}+2\mathbf{k} $ and $ 3\mathbf{i}-\mathbf{j}+3\mathbf{k}. $ The position vector of the middle point of the line AB is
[MP PET 1988]
Options:
A) $ \frac{1}{2}\mathbf{i}-\frac{1}{2}\mathbf{j}+\mathbf{k} $
B) $ 2\mathbf{i}-\mathbf{j}+\frac{5}{2}\mathbf{k} $
C) $ \frac{3}{2}\mathbf{i}-\frac{1}{2}\mathbf{j}+\frac{3}{2}\mathbf{k} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- $ \frac{\mathbf{a}+\mathbf{b}}{2}=2\mathbf{i}-\mathbf{j}+\frac{5}{2}\mathbf{k}. $
BETA
