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If the position vector of a point A is v...

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

A

`2a-b`

B

`b-2a`

C

`a-3b`

D

`b`

Text Solution

AI Generated Solution

To find the position vector of point B given that the position vector of point A is \(\vec{A} + 2\vec{B}\) and that point A divides the line segment AB in the ratio \(2:3\), we can use the section formula. ### Step-by-Step Solution: 1. **Identify the Position Vectors:** - Let the position vector of point A be \(\vec{A} + 2\vec{B}\). - Let the position vector of point B be \(\vec{X}\). ...
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