## Multiplication of Vectors

1. The problem statement, all variables and given/known data

If OA = 1/3OB + 2/3OC, then prove that A, B, and C are collinear and that A divides the segment BC in the ratio 2:1.

2. Relevant equations

OA = 1/3 OB + 2/3OC
A divides segment BC into 2/3s

3. The attempt at a solution

I don't know where to start on this question.

P.S. I'm not looking for a solution (although that wouldn't hurt), just a way on how to start solving these solutions. Im very bad at "proving" stuff.

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 Quote by crayzwalz 1. The problem statement, all variables and given/known data If OA = 1/3OB + 2/3OC, then prove that A, B, and C are collinear and that A divides the segment BC in the ratio 2:1. 2. Relevant equations OA = 1/3 OB + 2/3OC A divides segment BC into 2/3s 3. The attempt at a solution I don't know where to start on this question. P.S. I'm not looking for a solution (although that wouldn't hurt), just a way on how to start solving these solutions. Im very bad at "proving" stuff.
Is there a figure that goes with this question? Or can you draw one to help us understand what the issue is?

 I don't know where to start on this question.
If A,B and C are collinear, what can you say about vectors AB and AC ?

## Multiplication of Vectors

There was no figure given.

and vectors AB = 2/3AC???

 Wait. You're give 3 collinear points A B C you don't know nothing else. Tell me something about vectors AB and AC. Draw them on a piece of paper.
 so i googled it and their parallel, go head to tail and multiples of each other?
 Ok, so to transform one vector into a parallel vector I multiply it by a ??????
 i honestly don't know lol

 Tags multiplication, proving, triangle, vectors