k1a1+k2a2+k3a3=0k1(1,0,0)+k2(1,1,0)+k3(1,1,1)=0=> k1+k2+k3=0 (1) andk2+k3=0 (2) andk3=0 (3)from (2) and (3)=> k2=0from (1)=> k1=0k1,k2,k3=0=> a1,a2,a3 are linearly independence对任意的向量b=(a,b,c)= m...