设向量满足IaI=IbI=1,夹角120则Ia+2bI=?

问题描述:

设向量满足IaI=IbI=1,夹角120则Ia+2bI=?

|a+2b|²
=(a+2b)²
=a²+4b²+4a.b
=1+4+4*1*1*cos120°
=1+4-2
=3
所以 |a+2b|=√3