1. The problem statement, all variables and given/known data past paper qu... λa + µb + vc = 0 for some λ, µ, v not all zero show c.(axb)=0 consider cases v not equal to 0 and v = 0 3. The attempt at a solution not sure how to start so if someone could just point me in the right direction or offer another hint it may help me get started in the mean time i'll keep looking at it thanks ok i think i made a bit of progress:- when v not= 0 λa.(axb) + µb.(axb) + vc.(axb) = 0.(axb) so vc.(axb) = 0 => c.(axb) = 0
Use properties of the dot and cross product. axb is perpendicular to both a and b, right? So a.(axb)=b.(axb)=0. And if a and b are parallel, then axb=0.