Triple Product Proof

[SilverKing]

Hi everyone,
first of all, I don't know if this is the right section for my question, tell me if it isn't


I need the answer of the following:

"How to proof that (A×B) ・ (C×D) + (B×C) ・ (A×D) + (C×A) ・ (B×D) = 0"


Thanks in advance

 

[SilverKing]

Thanks a lot, Romsek ^_^

Can I get the full version of the book you gave me?

 

[HallsofIvy]

Hi everyone,
first of all, I don't know if this is the right section for my question, tell me if it isn't


I need the answer of the following:

"How to proof that (A×B) ・ (C×D) + (B×C) ・ (A×D) + (C×A) ・ (B×D) = 0"


Thanks in advance

Is there any reason not to simply calculate those six cross products and then do the three dot products?
Tedious but straight forward!