若向量a=(3,m)的单位向量为(1,0),则m=

问题描述:

若向量a=(3,m)的单位向量为(1,0),则m=

a/|a|=(1,0)
(3,m)/(9+m^2)^(1/2) = (1,0)
=>
3/(9+m^2)^(1/2) = 1 and m/(9+m^2)^(1/2) =0
=> 9+m^2=9 and m=0
=> m=0