解设B(x,y,z)即向量AB=(x-1,y+2,z)由向量AB平行a且向量AB模等于向量a模的2倍即向量AB=±2向量a即(x-1,y+2,z)=±2(-3,4,12),即x-1=-6y+2=8z=24或x-1=6y+2=-8z=-24即x=-5y=6z=24或x=7y=-10z=-24即向量AB(-5,6,24)或(7,-10,-24)