已知点A(a,0,0),B(0,b,0)C(0,0,c)求平面ABC的单位法向量?
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已知点A(a,0,0),B(0,b,0)C(0,0,c)求平面ABC的单位法向量?
已知点A(a,0,0),B(0,b,0)C(0,0,c)求平面ABC的单位法向量?
已知点A(a,0,0),B(0,b,0)C(0,0,c)求平面ABC的单位法向量?
即此平面为
(bc)x+(ac)y+(ab)z=abc
因为你代入x=a,y=0,z=0
x=0,y=b,z=0
x=0,y=0,z=c都成立
所以平面法向量即为x,y,z前的系数
n=(bc,ac,ab)
(1/a,1/b,1/c)