(1,0,0) (-3,7,0) and (1,1,0) I'm trying to work out if these vectors are linearly independent or not. Intuitively i believe they are dependent as they span the xy-plane.. but then how do i work out the linear combinations. e.g: (1,0,0) = a(-3,7,0) + b(1,1,0) where a and b are real numbers. Ive tried writing the vectors as column vectors, then row reducing and i end up with [1 -10 0;0 7 1;0 0 0] (which has rank(2) which means they are linearly dependent) but as for where to go from here I'm lost. Any help greatly appreciated.