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Hi I need to write a code about vectors I hope someone could help me... Sincerely..

Assume I defined vectors in 3-D and I need to find magnitude of a vector, norm of a vector, distance (between two points), dot product, cross product.

I need to write a recursive function which will "collapse" a list, that is, remove all nested parentheses so that the atoms are all at the top level. (collapse '(a b c (d e) ((f) g))) => (a b c d e f g) (collapse '(a b)) => (a b) (collapse '(() ((((a)))) ())) => (a) Thanks