Area of a Triangle using Determinants

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This is a video that demonstrates how to find the area of a triangle with known vertices in the rectangular coordinate plane by utilizing determinants.
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I wasn't signed in but i had too to say thank You saved my project for math thank you so much :) You are the best fdsaklfh

Rking
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Helped me really grasp the concept for my upcoming matrices test. Cheers mate

dontleech
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as far as i remember there is no such thing as negative area so why should it be positive or negative?

jeckfrost
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why is the last column supposed to be one? is there some kind of proof for that?

TheMarvinJoseph
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all points on the plane are mapped to a straight line through the origin

StarViolet
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why do we have the 1's in the determinant?

AliciaGarcia-
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I NEED PROOF OF THAT THEOREM PLEASE HELP !:D

iLiyadokov