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. $