Find an equation of the plane.The plane through the point and parallel to the plane x+y+z=0 相关知识点: 试题来源: 解析 Since the two planes are parallel, they will have the same normal vectors. So we can take n=(1,1,1) and an eauation of the plane is or or 6x+6y+6z=11...
The general equation of the plane that contains the points, and the origin is of the form. Solve for a, b, and c.相关知识点: 试题来源: 解析 首先,设平面方程为 。 因为平面经过点 ,所以将其坐标代入方程可得 ,即 ,移项可得 。 平面又经过点 ,将其坐标代入方程可得 ,即 。 把 代入 中,得到...
Answer to: Find an equation of the plane. The plane that passes through the point (- 3, 1, 1) and contains the line of intersection of the planes x...
Write the equation of the plane that contains the point {eq}P(2,4,6) {/eq} and the line {eq}x = 7 - 3t, y = 3 + 4t, z = 5 + 2t {/eq}. Equation of Plane: The Normal of a plane is perpendicular to every line lying in the ...
Find the equation of the plane passes through the point(1,−3,1)and parallel to the plane2x+3y+z=1. Find the equations of the line passing through the point (-1, 2,1 ) and parallel to the line2x−14=3y+52=2−z3.
Since the line is perpendicular to the plane, its direction vector 3,-1,4 is a normal vector to the plane. The point (2,0,1) is on the plane, so an equation of the plane is 3(x-2)+(-1)(y-0)+4(z-1)=0 or 3x -y + 4z = 10.反馈...
Thus, the equation of the plane that passes through the point P(x_0,y_0,z_0) and is parallel to the vectors _1=(a_1,b_1,c_1) and _2=(a_2,b_2,c_2) can be written in the form.(vmatrix) (x-x_0)&(y-y_0)&(z-z_0) a_1&a_2&a_3 b_1&b_2&b_3(vmatrix) =...
Answer to: Find an equation of the plane. The plane that passes through the point (1, 4, 5) and contains the line x = 5 t, y = 1 + t, z = 4 - t By...
Answer to: Find the equation of the plane: The plane contains the line x=3+2t, y=t, z=6-t and is parallel to the plane 2x+4y+8z=16. By signing up,...
equation of a plane 平面方程平面方程描述了三维空间中的一个平面。平面方程的一般形式为Ax + By + Cz = D,其中A、B、C是平面的法向量的分量,而D是平面到原点的距离。 如果给定平面上的一点 ,则平面方程可以写成: 这里, 是平面上的任意一点。通过展开和整理上述方程,可以得到平面的标准方程。 以下是更详细...