1. The problem statement, all variables and given/known data "if u,v,w are linearly independent then au+bv+cw=0 for some a,b,c in R" first of all is this correct? and how do i proof if this is correct? should i show like this, i know 0u+0v+0w=0 so that imply that statement is true? because 0 is in R is this correct? to prove "for some" statement?