hello, i am asked to proof that, for 3 linearly independent vectors, the crossproducts of each of the pairs of vectors are also linealry independent. i have tried to start this off looking at various properties of these vectors but i feel i am short of a step or two. i have that the crossproducts cant equal 0, and looking at deriving some kind of proof from this. but i am stuck. it seems a simple question but i got stuck.