Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If the position vector of a point A is $\vec a + 2\vec b$ and $\vec a$ divides AB in the ratio 2: 3, then the position vector of B is

Options:

$2\vec a-\vec b$

$\vec b-2\vec a$

$\vec a-3\vec b$

$\vec b$

Correct Answer:

$\vec a-3\vec b$

Explanation:

Let $P (\vec a)$ divide AB in the ratio 2 : 3 and let$\vec c$ be the position vector of B. Then,

$\vec a=\frac{2(\vec c)+3(\vec a +2\vec b)}{2+3}$

$⇒\vec c=\vec a-3\vec b$