|向量a+向量b+向量c|^2
=|a|^2+|b|^2+|c|^2+2|a||b|cos+2|b||c|cos+2|c||a|cos
=1+4+9+4*0+12*cos(π/6)+6*cos(π/3)
=14+6跟号3+3
=17+6根号3
|向量a+向量b+向量c|=根号(17+6根号3)
|向量a+向量b+向量c|^2
=|a|^2+|b|^2+|c|^2+2|a||b|cos+2|b||c|cos+2|c||a|cos
=1+4+9+4*0+12*cos(π/6)+6*cos(π/3)
=14+6跟号3+3
=17+6根号3
|向量a+向量b+向量c|=根号(17+6根号3)