已知a=(3,4),求与a垂直的单位向量

2025-07-10 13:02:56
推荐回答(1个)
回答1:

设a0(x,y)
因为垂直
=>(x,y).(3,4) =0
3x+4y=0
|a0|=1 (单位向量)
=>x^2+y^2=1
x^2 + 9x^2 /16 =1
25x^2/16 =1
x =4/5,y = -3/5
x =-4/5,y = 3/5
a0= (4/5,-3/5) or (-4/5,3/5)