예.
var('x, y, z')
p1=vector([5, -2, 3]);p2=vector([2, 1, -2])
p3=vector([-2, -3, 7]);p=vector([x, y, z])
u=p1-p2;v=p3-p2
n=u.cross_product(v) # 법선벡터
print "n=", n
plane_eq=n.inner_product(p-p2)==0 # 평면의 방정식
print "plane_equation", plane_eq
implicit_plot3d(plane_eq, (x, -3, 4), (y, -4, 2), (z, -2, 8))
n= (-7, -47, -24) plane_equation -7*x - 47*y - 24*z + 13 == 0 n= (-7, -47, -24) plane_equation -7*x - 47*y - 24*z + 13 == 0 Sleeping...
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var('t')
f(t)=cos(t);g(t)=cos(t);h(t)=sqrt(2)*sin(t)
parametric_plot3d((f(t), g(t), h(t)), (t, 0, 2*pi), aspect_ratio=1)
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Sleeping...
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