Vectors 2.4 Distance of a point to a line

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Distance from a point to a line
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at 2:51, shouldn't the 3rd position value of NP be 7/3 as opposed to 11/3 ?

campbelljin
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Title is wrong should be 2.4 not 1.4 discovered by Thomas and David

LOLZ-notr
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Sad that great things are rarely discovered...
But they will pay the price, ultimately

gretawilliams
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why is ON equals to the equation of the line?

Faaraah
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Please someone explain how ON vector equation is same as that of r? I mean quite clearly direction of ON is different than that of ON so how can direction vector also be same?

thepunisher
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Why ON and not NO? Shouln't it be NP•NO ÷ |NP|•|NO|=Cos θ

baconpancakes