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## Homework Statement

## Homework Equations

let the point where the line through B and X intersects with AC be P

## The Attempt at a Solution

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I know that

ACdotBP = 0

AC = AD+DC

BP = PC+ CD

Therefore (AD+DC)dot(PC+CD)=0

I also know that:

ECdotCE = 0

BCdotDA=0

However I am stuck on showing that the dot product of ACdotBP is equal to 0

If anyone can help me it would be much appreciated

thanks