(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Ok, this is actually an assignment from my calc III class but it involves vectors so I was hoping I could get some help here.

The problem is There are two vectors A and B that make a parallelogram. I have to prove that when two line segments are drawn from a vertice from the vectors that bisect the vectors on the other side of the parallelogram the line segments will trisect the diagonal between the vectors. One of the tri-sections is labeled vector C. I am attaching a picture that I drew in paint which I think illustrates the problem. If it doesn't then It is how I understood it and that might be why I am having trouble to begin with. I have scribbled down a few things that I know are true, but I am really having a problem getting started.

2. Relevant equations

Relevant info is all rules pertaining to vectors and geometry and trig. I'm sure I'm just overlooking something simple.

3. The attempt at a solution

I have tried starting with the assumption thatA+B= 3C

1/2A+B= one of the line segments

A+ 1/2B= the other line segment

these are things that I think maybe I need to assume to be true but I honestly have no idea where to start. Could someone please point me in the right direction? The diagram is really bad btw and not to scale, (like I said, I drew it in paint).

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# Homework Help: Proof using vector geometry, I need some direction please.

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