Multivariable Calculus | The cross product, area, and volume.

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We prove that the area of a parallelogram may be calculated with the cross product and the volume of a parallelepiped can be calculated with the scalar triple product.

  1. Michael Penn
  2. math
  3. mathematics
  4. number theory
  5. abstract algebra
  6. calculus
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Комментарии
Автор

at 8:17 you put -1 for y, shouldn't it be 1? there are indeed as you say to minus signs to take into account.

That doesn't change the quality of your channel, which I can only recommend.

ChaineYTXF
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At 11:20, the red vector v should not be drawn going down to meet b. That would represent the projection of a along b, not the height, which is projection of a along (b x c). The correct location would be somewhere on that bottom face, but not on the edges.

fashnek
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I just noticed that crossproduct for 4 dimensions will be of 3 vectors and not 2.
cool.

zackmercurys
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really annoyingly, this video goes into right-audio only some of the way through

ethanforeman