Vector Algebra Question 274
Question: If position vectors of a point A is a + 2b and a divides AB in the ratio $ 2:3 $ , then the position vector of B is
[MP PET 2002]
Options:
A) 2a ? b
B) b ? 2a
C) a ? 3b
D) b
Show Answer
Answer:
Correct Answer: C
Solution:
- If x be the position vector of B, then a divides AB in the ratio 2 : 3. $ a=\frac{2x+3(a+2b)}{2+3} $
Þ $ 5,a-3,a-6b=2,x,\Rightarrow x=a-3,b. $