Zale101
  • Zale101
Vector problem: I’m trying to determine if the mentioned vertices are right triangle.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Zale101
  • Zale101
A(4,5-3) B(3,2,-1) C(7,0,-2) AB=(3-4)i+(2-5)j+(-1+3)k =-i-3j+2k=<-1,-3,2> BC=(7-3)i+(0-2)j+(-2+1)k =4i-2j-k=<4,-2,-1> AC=(7-4)i+(0-5)j+(-2+3)k =3i-5j+k=<3,-5,1> AB*BC=-1*4+-3*-2+2*-1=1 AB*AC=-1*3+-3*-5+2*1=14 BC*AC=4*3+-2*-5+-1*1=21 (pardon my missing vector arrows, and hats on i,j,k)
Zale101
  • Zale101
Somehow, by using the dot product, i couldn't get zero in either AB*BC, AB*AC, and BC*A
Zale101
  • Zale101
There's an error with my arithmetic i suppose.

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dan815
  • dan815
have u learnt how to take the dot product
jim_thompson5910
  • jim_thompson5910
you did make an error when you did the dot product
dan815
  • dan815
either that or see the length are in the form a^2+b^2=c^2
Zale101
  • Zale101
Oh okay. Thanks! This semester is like my first time learning the doc product, can't remember it from precal. I'll go over what i did. Thanks again @dan815 and @jim_thompson5910 .
jim_thompson5910
  • jim_thompson5910
you have the right steps, just a silly arithmetic mistake
Zale101
  • Zale101
Lol Alright, i feel good now. I was afraid that i didn't know what i'm trying to solve for.
dan815
  • dan815
the dot product and the cow law are very closely related
Zale101
  • Zale101
AC*BC=-1*4+-3*-2+2*-1=0
jim_thompson5910
  • jim_thompson5910
I think you mean AB*BC=-1*4+-3*-2+2*-1=0 right?
Zale101
  • Zale101
Yes that AB and BC
Zale101
  • Zale101
Sorry xD
jim_thompson5910
  • jim_thompson5910
that's ok. I'm getting the same result. So AB is orthogonal (ie perpendicular) to BC

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