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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.