# Thread: Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

1. ## Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

The question/answer/solution is attached. The red check mark is the last thing I understand and the red question mark is the first thing I am stuck on. I basically need helping going from the step with the red check mark to the step with the red question mark.

Any help would be greatly appreciated as usual!

2. ## Re: Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

Originally Posted by s3a
The question/answer/solution is attached. The red check mark is the last thing I understand and the red question mark is the first thing I am stuck on. I basically need helping going from the step with the red check mark to the step with the red question mark.

Any help would be greatly appreciated as usual!
It's just a collection of some like terms and factoring. If you collect i, j, k components in your ? step and simplify, you'll get the same as your ticked step.

3. ## Re: Show that a x (b x c) = (a*c)b - (a*b)c (Vectors) (Solution included)

Just to say, I needed a little bit more than that but your suggestion along with good sleep helped me figure this out. Thank you.

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### a x (b x c) = (a.c)b - (a.b)c

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