The Cross Product

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Uploaded by on Jun 20, 2009

In this video, I give the formula for the cross product of two vectors, discuss geometrically what the cross product is, and do an example of finding the cross product.
For more free math videos, visit http://PatrickJMT.com

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Education

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Standard YouTube License

  • likes, 12 dislikes

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Uploader Comments (patrickJMT)

  • do you have a video on vector triple products?

  • @ilovetayer nope, sorry!

  • hey PatrickJMT.. thanks for getting me through college calculus.

  • @brad5191 glad i could help you : )

  • How to cross product of two vectors which are 2D.

  • @loik345 you dont. the cross product is defined for vectors in 3d

Top Comments

  • patrickJMT + kahnacademy = my life saved

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All Comments (232)

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  • I mean...Dude thank you so much... ha

  • Dude that you

  • a x b = c

    b x a = -c

  • Never mind, after checking the maths I've found out that it does matter which order you cross the vectors. Thanks for the great tutorial. =D

  • Just curious, if you do vector b and you cross it with vector a in that order do you get the opposite of the example you got in the video? The only reason I ask this is I was doing a tutorial for one of my lectures and in that lecture we had to make a cube in 3d space. While doing this I entered my Vectors in an anti-clockwise format which put the normal on the wrong side of the face. Entering them in a clockwise format fixed this, so is it because of the way the vectors were crossed or not?

  • thank ya broseph brosephsons

  • Hello Patrick!

    I am an avid fan of your very down to earth vids. But do you have videos regarding vectors in three dimensions? like regarding parametric/symmetric equations, quadric surfaces...etc.

    Thanks!

  • nice vid, way better than my physics prof

  • do you have a video where you are given i and j and are asked to find the vector product

  • You've inspired me to make my own math videos. But how do you position the camera to get a shoot that focuses solely on the paper?

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