Find the parametric and the non-parametric equations of the
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Find the parametric and the non-parametric equations of the planes below:
(a) The plane through the three points (5; 4;-8); (1; 6;-3) and (7;-2; 5)
(b) The plane through the point (1;-2; 4) and containing the line given by (x; y; z) = (3;-2; 1)+t(2; 1;-3)
搞不懂要怎么算,
(a) The plane through the three points (5; 4;-8); (1; 6;-3) and (7;-2; 5)
(b) The plane through the point (1;-2; 4) and containing the line given by (x; y; z) = (3;-2; 1)+t(2; 1;-3)
搞不懂要怎么算,
求参数方程与非参数方程:
1:三点确定一平面;
2:一点一直线确定一平面
解1:平面一般方程Ax+By+Cz+D=0
一个点一方程
三元一次,完事(A,B,C,D成比例,可令其中一位为常数,当然考虑一下0的情况).
参数方程吗,找两个平行于平面的向量,如三个点任两个减减,得两个(x1,y1,z1 ),(x2 ,y2 ,z2),再找个点((x0,y0,z0),可以在三个点中选一个
x=x0+x1u+x2v;
y=y0+y1u+y2v;
z=z0+z1u+z2v;
解2:一条直线挖两个点,不就三点定一平面.
委实说,我也不想算.
1:三点确定一平面;
2:一点一直线确定一平面
解1:平面一般方程Ax+By+Cz+D=0
一个点一方程
三元一次,完事(A,B,C,D成比例,可令其中一位为常数,当然考虑一下0的情况).
参数方程吗,找两个平行于平面的向量,如三个点任两个减减,得两个(x1,y1,z1 ),(x2 ,y2 ,z2),再找个点((x0,y0,z0),可以在三个点中选一个
x=x0+x1u+x2v;
y=y0+y1u+y2v;
z=z0+z1u+z2v;
解2:一条直线挖两个点,不就三点定一平面.
委实说,我也不想算.
Find the parametric and the non-parametric equations of the
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