Need help with combination of dot product and cross product question

  • #1
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Homework Statement



Let [tex]\vec{A}[/tex], [tex]\vec{B}[/tex], and [tex]\vec{C}[/tex] be three vectors which are all not in the same plane. Show that [tex]\vec{A}{\cdot}(\vec{B}{\times}\vec{C})=\vec{B}{\cdot}(\vec{C}{\times}\vec{A})=\vec{C}{\cdot}(\vec{A}{\times}\vec{B})[/tex]

Homework Equations



Don't know :(

The Attempt at a Solution



Well I looked up some algebraic properties of dot products and cross products, but nothing that relates the two. I tried working it out, but it's getting extremely messy.
 

Answers and Replies

  • #2
Pengwuino
Gold Member
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  • #3
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thank you, but that link is really complicated and i dont understand it.

as for brute force, that would be so long and tedious, and the probability of making a minor error which results in an incorrect answer is so high

is there any easier way to do it?

EDIT:

nevermind, I got it, brute force worked, thanks
 
Last edited:

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