Finding cross product of unit vectors e, e': e x (e' x e)

[jwpaine]

Let e and e' be unit vectors in R^3 such that e (parallel) e'. Reason geometrically to find the cross product e (e' x e)

Nowhere in the chapter of my calc text does it mention the derivitive of a vector. Can someone give me a hint on how to get started, here? I think if I've one knows what they're asking and are willing to help evaluate on what e' is, than I know enough tools tools to solve/reason an answer to this assignment.

If e = <i, j, k> than does e' = <1, 1, 1> ?

No, that would not make sense.

Thanks,
John

 

[pka]

Re: Finding the cross product of e x (e' x e)

This true are any vectors: \(\displaystyle A \times \left( {B \times C} \right) = \left( {A \cdot C} \right)B - \left( {A \cdot B} \right)C\).