|a|²=(2e1+e2)²=4e1²+4e1*e2+e2²=4+4×1×1×cos60+1=7
|b|²=(-3e1+2e2)²=9e1²-12e1*e2+4e2²=9-12×1×1×1/2+4=7
a*b=(2e1+e2)(-3e1+2e2)=-6e1²+e1*e2+2e2²=-6+(1/2)+2=-7/2
所以cos(a,b)=a*b/(|a|*|b|)=(-7/2)/(根號(hào)7×根號(hào)7)=-1/2
a與b的夾角是(a,b)=arccos(-1/2)=120°