Plane.equation()方法可以接受以下参数: normal_vector:指定是否返回点法向式方程,默认为False。如果设置为True,则返回点法向式方程;如果设置为False,则返回一般方程。 intercept:指定是否返回截距式方程,默认为False。如果设置为True,则返回截距式方程。 返回的方程对象可以使用str()方法将其转换成字符串形式。
In summary, the equation of a plane can be found by solving for the normal vector equation of a plane which is normal on the vector n=(2,-2,1), at a distance of 5 from (0,0,0). 1 Apr 7, 2008 #36 Physicsissuef 908 0 Hootenanny said: Note that...
(1)with normal vector (bmatrix)2 -1 3(bmatrix) and through (-1,2,4) (2)perpendicular to the line through (2, 3, 1) and (5, 7, 2) and through (3)perpendicular to the line connecting (1,4, 2) and (4, 1, -4) and containing such that (AP):(PB)=1:2 ...
上图中,矢量n为平面的normal vector(法线的矢量),a为平面上已知点的position vector,r为平面上任意一点的position vector(可理解为整个平面)。从几何学我们知道,法线垂直于平面上任意一条直线,所以法线和平面上任意一条直线的点乘为0(点乘dot product,dot product也可以叫做scalar product)。我们用两个position vector...
Vector equations ares used to represent the equation of a line or a plane with the help of the variables x, y, z. The vector equation defines the placement of the line or a plane in the three-dimensional framework. The vector equation of a line is r = a + λb, and the vector ...
The vector equation of a plane is given by, (r-a).n=0, where a is the position vector of a point on plane and n is the normal vector.Hence, the vector equation is (r- i- j ).(-6 i+6 j+6 k)=0 or r.(-6 i+6 j+6 k)=0 or r.(- i+ j+ k)=0.We have to ...
Equation of a Plane Point and a Normal Main Concept A plane can be defined by five different methods: A line and a point not on the line Three non-collinear points (three points not on a line) A point and a normal vector Two intersecting lines Two paral
If we let X = [x y z], we can rewrite the vector X − P in terms of its components, yielding X − P = [ x − Px y − Py z − Pz ] If we let n→=[abc], then we can rewrite the normal-point form of the plane equation as...
Given the equation of a plane, {eq}\displaystyle x - 2y + z + 1 = 0 {/eq} We need to find the normal vector to the plane. The normal form of a... Learn more about this topic: How to Find Unit Vector & Normal Vector | Formula & Examples ...
A plane has equation z= 5x-2y+ 7. For what values of a is the vector (a,1,\frac{1}{2}) normal to the plane? Write the equation of the plane with normal vector \mathbf{n}=3 \mathbf{k} passing through the point (6,3,4) in scal...