已知向量a=(1,1),b=(1,0),c满足a?c等于0,且|a|=|c|,b?c>0.
已知向量a=(1,1),b=(1,0),c满足a?c等于0,且|a|=|c|,b?c>0.
日期:2011-02-12 14:53:20 人气:1
(1)
|a| = √2
let c=(x,y)
=> x^2 +y^2 =2 (1)
a.c =0
(1,1)(x,y) =0
=> x+y = 0 (2)
b.c >0
(1,0)(x,y)>0
=> x > 0
sub (2) into (1)
2x^2 = 2
x = 1 or -1( rejected , x>0)
y = -1
c ( 1,-1)
(2)
f:(x