Let #vecu =<-3,5, 2> and vecv =<-2,7,-2> ; theta# be the angle between them ; then we know #cos theta= (vecu*vecv)/(||vecu||*||vecv||)=((-3.-2)+(5*7)+(2* -2))/(sqrt((-3)^2+5^2+2^2)* sqrt((-2)^2+7^2+(-2)^2)##= 37/(sqrt38*sqrt57)==0.795:. theta=cos^-1(0.795)=37.34^0#[Ans]