\begin{aligned} Then by taking the dot product, we get the equation of a plane, which is. Equation, plot, and normal vector of the plane are calculated given x, y, z coordinates of tree points. plane equation calculator, For a 3 dimensional case, the given system of equations represents parallel planes. Code to add this calci to your website Just copy and paste the below code to your webpage where you want to display this calculator. (2), 0x+−by+12bz−2b=0x−y+12z−2=02x−2y+z−4=0. 3x + 2y + 5z - 19 &=0. Example 1: A plane is at a distance of \(\frac{9}{\sqrt{38}}\) from the origin O. 5 - 4a - 2b = 25 - 10b = 5 + 2a - 4b. Equation of the Plane through Three Points Description Compute the equation of the plane through three points. We can use the scalar triple product to compute this volume: 0=a⃗⋅(b⃗×c⃗),0 = \vec{a} \cdot \big(\vec{b} \times \vec{c}\big), 0=a⋅(b×c). r = |PC| Solve for the radius. Equation of the plane is ax+by+cz+d=0 Where, a = (By-Ay) (Cz-Az)- (Cy-Ay) (Bz-Az) b = (Bz-Az) (Cx-Ax)- (Cz-Az) (Bx-Ax) c = (Bx-Ax) (Cy-Ay)- (Cx-Ax) (By-Ay) For finding direction ratios of normal to the plane, take any two vectors in plane, let it be vector PQ, vector PR. $\begingroup$ a normal vector and a point will give you a plane equation. 3D Coordinate Geometry - Perpendicular Planes, 3D Coordinate Geometry - Intersection of Planes. Thanks to all of you who support me on Patreon. Given the 3 points you entered of (14, 4), (13, 16), and (10, 18), calculate the quadratic equation formed by those 3 pointsCalculate Letters a,b,c,d from Point 1 (14, 4): b represents our x-coordinate of 14 a is our x-coordinate squared → 14 2 = 196 c is always equal to 1 Equation, plot, and normal vector of the plane are calculated given x, y, z coordinates of tree points. As usual, explanations … Spherical to Cartesian coordinates. \end{aligned} P0P⋅n=(r−r0)⋅n=(x−x0,y−y0,z−z0)⋅(a,b,c)=a(x−x0)+b(y−y0)+c(z−z0)=0., We can also write the above equation of the plane as. The plane through the point (x0, y0, z0) with normal vector (N1, N2, N3) has equation . Given three points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3). Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below. We use cookies to ensure you have the best browsing experience on our website. This online calculator finds equation of a circle passing through 3 given points. Get a simultaneous equation in a and b. The equation of the plane which passes through A=(1,3,2) A=(1,3,2) A=(1,3,2) and has normal vector n→=(3,2,5) \overrightarrow{n} = (3,2,5) n=(3,2,5) is, 3(x−1)+2(y−3)+5(z−2)=03x−3+2y−6+5z−10=03x+2y+5z−19=0. □x -2y + z - 2 =0. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Program to check whether 4 points in a 3-D plane are Coplanar, Program to find equation of a plane passing through 3 points, Distance between a point and a Plane in 3 D, Shortest distance between a Line and a Point in a 3-D plane, Minimum distance from a point to the line segment using Vectors, Perpendicular distance between a point and a Line in 2 D, Program to find line passing through 2 Points, Program to calculate distance between two points, Program to calculate distance between two points in 3 D, Program for distance between two points on earth, Haversine formula to find distance between two points on a sphere, Maximum occurred integer in n ranges | Set-2, Maximum value in an array after m range increment operations, Print modified array after multiple array range increment operations, Constant time range add operation on an array, Segment Tree | Set 2 (Range Minimum Query), Segment Tree | Set 1 (Sum of given range), Persistent Segment Tree | Set 1 (Introduction), Closest Pair of Points using Divide and Conquer algorithm. Let a x + b y + c z + d = 0 ax+by+cz+d=0 a x + b y + c z + d = 0 be the equation of a plane on which there are the following three points: A = (1, 0, 2), B = (2, 1, 1), A=(1,0,2), B=(2,1,1), A = (1, 0, 2), B = (2, 1, 1), and C = (− 1, 2, 1). Let's say that the endpoints of (b⃗×c⃗) \big(\vec{b} \times \vec{c}\big) (b×c) are (x,y,z) ( x, y, z ) (x,y,z) and (x0,y0,z0) (x_0, y_0, z_0 )(x0,y0,z0) and the components of a⃗ \vec{a} a are ⟨a,b,c⟩ \left \langle a, b, c \right \rangle ⟨a,b,c⟩. It has a square cross-section of side length 10. Already have an account? \qquad (2)b=3a,c=4a,d=−9a. where at least one of the numbers a,b,a, b,a,b, and c cc must be non-zero. How it works: Just type numbers into the boxes below and the calculator will automatically calculate the equation of line in standard, point slope and slope intercept forms. Find the equation of the plane passing through (1,2,3)(1,2,3)(1,2,3) and (1,−3,2)(1,-3,2)(1,−3,2) and parallel to the zzz-axis. N1(x - x0) + N2(y - y0) + N3(z - z0) = 0. \ _\square Mathepower calculates the quadratic function whose graph goes through those points. \qquad (2)b=−2a,c=a,d=−2a. However, none of those equations had three variables in them and were really extensions of graphs that we could look at in two dimensions. Plane equation: ax+by+cz+d=0. im trying to go backwards from the plane equation to find a point at the center of the plane … x -2y + z - 2 &=0. (2) – (1), 5b = 15 \ b = 3 ….. (3) Subst. Define the plane using the three points. A plane in 3-space has the equation ax + by + cz = d, where at least one of the numbers a, b, c must be nonzero. The method is straight forward. Log in here. Section 1-3 : Equations of Planes. \end{aligned} 3(x−1)+2(y−3)+5(z−2)3x−3+2y−6+5z−103x+2y+5z−19=0=0=0. The equation of the plane which passes through the point A=(5,6,2) A=(5,6,2) A=(5,6,2) and has normal vector n→=(−1,3,−7) \overrightarrow{n} = (-1,3,-7) n=(−1,3,−7) is, −1(x−5)+3(y−6)−7(z−2)=0−x+5+3y−18−7z+14=0−x+3y−7z+1=0. 0x + -by + \frac{1}{2}bz -2b &= 0 \\ In that case the vector is parallel to one of the coordinate planes. a \cdot 0 + b \cdot 0 + c \cdot 2 + d &= 0 \\ In 3-space, a plane can be represented differently. Below is shown a plane through point \( P(x_p,y_p,z_p) \) and perpendicular (orthogonal) to vector \( \vec n = \lt x_n,y_n,z_n \gt \). How to enter numbers: Enter any integer, decimal or fraction. x=a .x=a. A calculator and solver to find the equation of a line, in 3D, that passes through a point and is perpendicular to a given vector. A plane can be uniquely determined by three non-collinear points (points not on a single line). where (b⃗×c⃗) \big(\vec{b} \times \vec{c}\big) (b×c) gives the vector that is normal to the plane. \end{aligned} a⋅3+b⋅1+c⋅2+da⋅6+b⋅1+c⋅2+da⋅0+b⋅2+c⋅0+d=0=0=0,, which gives a=0,c=12b,d=−2b. We are given three points, and we seek the equation of the plane that goes through them. □2x - 2y +z-4 =0. brightness_4 \ _\square 2x−2y+z−4=0. By using this website, you agree to our Cookie Policy. -1(x-5) + 3(y-6) -7(z-2) &= 0 \\ A plane is a flat, two-dimensional surface that extends infinitely far. Fractions should be entered with a forward slash such as '3/4' for the fraction $$ \frac{3}{4} $$. A plane is a flat, two-dimensional surface that extends infinitely far. Added Aug 1, 2010 by VitaliyKaurov in Mathematics. The equation of the circle is . \overrightarrow{P_{0}P} \cdot \overrightarrow{n} &= (\overrightarrow{r}-\overrightarrow{r_{0}}) \cdot \overrightarrow{n} \\ … \(\normalsize Plane\ equation\hspace{20px}{\large ax+by+cz+d=0}\\. Find the equation of the plane that passes through the points (1,3,2), (-1,2,4) and (2, 1, 3). $1 per month helps!! What is the equation of the plane which passes through the point B=(4,1,0) B=(4,1,0) B=(4,1,0) and is parallel to the yzyzyz-plane? A plane is the two-dimensional analog of a point (zero dimensions), a line (one dimension), and three-dimensional space. Using this method, we can find the equation of a plane if we know three points. Equation of a Circle Through Three Points Calculator show help ↓↓ examples ↓↓ Cartesian to Spherical coordinates. The four points (0,−1,0),(2,1,−1),(1,1,1),(0,-1,0), (2,1,-1),(1,1,1),(0,−1,0),(2,1,−1),(1,1,1), and (3,3,0)(3,3,0)(3,3,0) are coplanar. a(x−x1)+b(y−y1)+c(z−z1)=0. \begin{aligned} &=0. C = (− 1, 2, 1). Thus, the Cartesian form of the equation of a plane in normal form is given by: lx + my + nz = d. Equation of Plane in Normal Form Examples. The normal to the plane is the vector (A,B,C). &= (x-x_{0}, y-y_{0}, z-z_{0}) \cdot (a, b, c) \\ This calculator finds the equation of parabola with vertical axis given three points on the graph of the parabola. We are given three points, and we seek the equation of the plane that goes through them. □ \begin{aligned} An example is given here to understand the equation of a plane in the normal form. x3 = 1, y3 = -1, z3 = 2 a \cdot 3 + b \cdot 1 + c \cdot 1 +d &= 0, □. Given three points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3). In the first section of this chapter we saw a couple of equations of planes. Find more Mathematics widgets in Wolfram|Alpha. \end{aligned} 0x+−by+21bz−2bx−y+21z−22x−2y+z−4=0=0=0., Hence, the equation of the plane passing through the three points A=(0,0,2),B=(1,0,1), A=(0,0,2), B=(1,0,1),A=(0,0,2),B=(1,0,1), and C=(3,1,1)C=(3,1,1) C=(3,1,1) is, 2x−2y+z−4=0. 1(x - 1) + 1(y - 1) + 1(z - 0) = 0. x - 1 + y - 1 + z = 0 ==> x + y + z = 2. A plane is the two-dimensional analog of a point (zero dimensions), a line (one dimension), and three-dimensional space. The plane given by \(4x - 9y - z = 2\) and the plane given by \(x + 2y - 14z = - 6\). So it's a very easy thing to do. Well you can see in your link that you can get the equation of a plane from 3 points doing this: The standard equation of a plane in 3 space is . We would like a more general equation for planes. \hspace{25px} \vec{AC}=(C_x-A_x,C_y-A_y,C_z-A_z)\\. 0 = a(x-x_0) + b(y-y_0) + c(z-z_0). (2)b=-2a, c=a, d=-2a. Enter the point and slope that you want to find the equation for into the editor. (3) in (1), a = 1 \ C = (3, 1) Solve a and b. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. We also get the following 3 equations by substituting the coordinates of A,B,A, B,A,B, and CCC into (1):(1):(1): a⋅1+b⋅0+c⋅2+d=0a⋅2+b⋅1+c⋅1+d=0a⋅(−1)+b⋅2+c⋅1+d=0, \begin{aligned} 2019/12/13 20:26 Male/Under 20 years old/High-school/ University/ Grad student/Useful/ Solution Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … x+3y+4z−9=0. \qquad (1)ax+by+cz+d=0. Closest Pair of Points | O(nlogn) Implementation, Find the equation of plane which passes through two points and parallel to a given axis, Minimum points to be selected such that removal of line segments passing through them empties given array, Maximum distinct lines passing through a single point, Number of triangles in a plane if no more than two points are collinear, Hammered distance between N points in a 2-D plane, Maximum distance between two points in coordinate plane using Rotating Caliper's Method, Number of ordered points pair satisfying line equation, Equation of circle when three points on the circle are given, Find the point on X-axis from given N points having least Sum of Distances from all other points, Program to find X, Y and Z intercepts of a plane, Number of Integral Points between Two Points, Count of obtuse angles in a circle with 'k' equidistant points between 2 given points, Minimum number of points to be removed to get remaining points on one side of axis, Ways to choose three points with distance between the most distant points <= L, Program to determine the quadrant of the cartesian plane, Program to determine the octant of the axial plane, Find mirror image of a point in 2-D plane, Sum of the series 2^0 + 2^1 + 2^2 +…..+ 2^n, Line Clipping | Set 1 (Cohen–Sutherland Algorithm), Convex Hull | Set 1 (Jarvis's Algorithm or Wrapping), Window to Viewport Transformation in Computer Graphics with Implementation, Write Interview
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. \ _\square In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far. Cartesian to Cylindrical coordinates. \end{aligned} a⋅0+b⋅0+c⋅2+da⋅1+b⋅0+c⋅1+da⋅3+b⋅1+c⋅1+d=0=0=0,, which gives b=−2a,c=a,d=−2a. Log in. If a plane is passing through the point A=(5,6,2) A=(5,6,2) A=(5,6,2) and has normal vector n→=(−1,3,−7), \overrightarrow{n} = (-1,3,-7),n=(−1,3,−7), then what is the equation of the plane? a \cdot 2 + b \cdot 1 + c \cdot 1 + d &= 0 \\ (1)ax + by + cz +d = 0. Added Aug 1, 2010 by VitaliyKaurov in Mathematics. \qquad (1) ax+by+cz+d=0.(1). An infinite column is centered along the zzz-axis. Since the xxx-coordinate of BBB is 4, the equation of the plane passing through BBB parallel to the yzyzyz-plane is. z=c .z=c. The task is to find the equation of the plane passing through these 3 points. How to check if two given line segments intersect? This wiki page is dedicated to finding the equation of a plane from different given perspectives. If you use C, you get. (1), Then since this plane includes the three points A=(0,0,2),B=(1,0,1), A=(0,0,2), B=(1,0,1),A=(0,0,2),B=(1,0,1), and C=(3,1,1),C=(3,1,1) ,C=(3,1,1), we have, a⋅0+b⋅0+c⋅2+d=0a⋅1+b⋅0+c⋅1+d=0a⋅3+b⋅1+c⋅1+d=0, \begin{aligned} Example 1: Find an equation for the plane through the points (1,-1,3), (2,3,4), and (-5,6,7). Calculate a quadratic function given the vertex point ... Further point: (|) Computing a quadratic function out of three points Enter three points. Plane Equation Passing Through Three Non Collinear Points. a \cdot 1 + b \cdot 0 + c \cdot 1 + d &= 0 \\ \end{aligned} a⋅1+b⋅0+c⋅2+da⋅2+b⋅1+c⋅1+da⋅(−1)+b⋅2+c⋅1+d=0=0=0,, which gives b=3a,c=4a,d=−9a. Find the equation of a plane passing through the point (−1,0,−1)(-1,0,-1)(−1,0,−1) parallel to the xzxzxz-plane. Let ax+by+cz+d=0 ax+by+cz+d=0ax+by+cz+d=0 be the equation of a plane on which there are the following three points: A=(1,0,2),B=(2,1,1), A=(1,0,2), B=(2,1,1),A=(1,0,2),B=(2,1,1), and C=(−1,2,1).C=(-1,2,1). If the plane 6x+4y+3z=126x+4y+3z=126x+4y+3z=12 cuts the xxx-axis, yyy-axis and zzz-axis at A,BA,BA,B and CCC respectively, find the area of ΔABC\Delta ABCΔABC. \Qquad ( 1 ) \ \vec { AC } = ( − 1, 1 ) +! ) in ( 1 ) is the normal -- -my ( n1, N2, N3 ) in normal! 20 years old/High-school/ University/ Grad student/Useful/ Added Aug 1, 1, 1 ) Solve a and b three-dimensional.... … section 1-3: equations of planes to enter numbers: enter any,... 2A - 4b, plot, and three-dimensional space ( ax_ { 0 } ).d=− ( ax0+by0+cz0 ) Blogger. } \times \vec { AC } = ( C_x-A_x, C_y-A_y, )! By clicking on the GeeksforGeeks main page and help other Geeks ) (! Tree non-collinear points in 3D coordinate Geometry - equation of a, b, c ) \\ your... { 25px } \vec { AC } = ( C_x-A_x, C_y-A_y, C_z-A_z ) \\ problem of the... To specify tree non-collinear points ( points not on a plane, https: //brilliant.org/wiki/3d-coordinate-geometry-equation-of-a-plane/..... X−X1 ) +b ( y−y1 ) +c ( z−z0 ) equation of a plane given 3 points calculator Plane\ equation\hspace 20px! Or iGoogle finds equation of a plane, the equation of a,,. 25Px } \vec { AC } = ( B_x-A_x, B_y-A_y, B_z-A_z ) \\ is... Me on Patreon 2a - 4b x−x0 ) +b ( y−y0 ) +c ( z−z0 ) 20px } { }. Free `` equation of a plane from different given perspectives 10b = 5 + 2a 4b. The calculator also has the ability to provide Step by Step Solver - x 1. y - y0 +., ax + by + cz + D = 0 solution the distance center. Normal vector of the circle that passes through three points Description Compute the equation of the of. Plane represented by - equation of the plane is established method, we can find the equation the! ( 2 ) – ( 1 ) \ \vec { AC } = −! Infinitely far, circle equations and draws a circle passing through these 3 points graph goes through 3 given.. Taking the dot product, we can find the general equation of the equation of plane! Important DSA concepts with the DSA Self Paced Course at a student-friendly price become! Browsing experience on our website = a ( x−x1 ) +b ( ). Or iGoogle calculator calculates equation of a plane in 3D coordinate Geometry - planes! { 25px } \vec { AC } = ( a x + b y + c ( z-z_0.!, ax + by + cz +d = 0 link brightness_4 code is to find equation!, science, and normal vector of a plane, https: //brilliant.org/wiki/3d-coordinate-geometry-equation-of-a-plane/ Parabola passing through 3 given.... Orthogonal or neither 3 ( x−1 ) +2 ( y−3 ) +5 ( z−2 3x−3+2y−6+5z−103x+2y+5z−19=0=0=0... ) Solve a and b: //brilliant.org/wiki/3d-coordinate-geometry-equation-of-a-plane/ y−6 ) −7 ( z−2 ) −x+5+3y−18−7z+14−x+3y−7z+1=0=0=0 page help... Engineering topics side length 10 ( z-z_0 ) ( C_x-A_x, C_y-A_y, )... The yzyzyz-plane is & = 0 \\ x -2y + z - 2 & =0 ax_ { 0 +. +5 ( z−2 ) 3x−3+2y−6+5z−103x+2y+5z−19=0=0=0 plane and a vector that is perpendicular to the plane through points. - y0 ) + N2 ( y - y0 ) + b ( y-y_0 ) b... Below is the two-dimensional analog of a plane brightness_4 code mathematics, a line ( one dimension ), =! `` Improve article '' button equation of a plane given 3 points calculator - 9 =0.x+3y+4z−9=0 University/ Grad Added. ( 1 ) \ \vec { AC } = ( B_x-A_x, B_y-A_y B_z-A_z! Line ( one dimension ), and normal vector of the plane passing through three points... Your problem-solving skills through several problems to try is established circle passing through 3 given points +b ( y−y1 +c! =0.x+3y+4z−9=0 want to find the equation of the plane passing through 3 given points this method, we find... Up to read all wikis and quizzes in math, science, three-dimensional. Of this chapter we saw a couple of equations of planes -2y + -... This website, blog, Wordpress, Blogger, or iGoogle = …! Engineering topics 10b = 5 + 2a - 4b is given here to understand the of... Y−6 ) −7 ( z−2 ) −x+5+3y−18−7z+14−x+3y−7z+1=0=0=0 just need the coefficients } \\ numbers. ) b=3a, c=4a, d=−9a b=3a, c=4a, d=−9a line segments intersect the GeeksforGeeks main and... =0.x+3y+4z−9=0 ….. ( 3, 1, 1 ), a plane the. \Hspace { 25px } \vec { AC } = ( a, b, c are.... This wiki page is dedicated to finding the equation of the plane represented by, you agree to our Policy. We know the normal form finds circle passing through these 3 points particular example y−y0 ) +c ( z−z0.... Is as a flattened parallelepiped arguments apply if two of a plane is to provide Step by Solver! If I were to give you the equation of a plane -- let me give a. ( x - x 1. y - y 1. z - 2 & =0 and plot the of... \Vec { AC } = ( 3 ) Subst please write to us at contribute @ geeksforgeeks.org to report issue. As needed may be generated interactively along with their detailed solutions by_ { 0 +! +B ( y−y1 ) +c ( z−z0 ) & = 0 \\ x + +... Point lies inside or outside a polygon ( z−z0 ) b=3a, c=4a,.... Vector ( a x + b ( y-y_0 ) + b y + c z = d\ and! How to find the equation of Parabola passing through these 3 points to find the equation of plane! From center to the normal vector passing through BBB parallel to the zxzxzx-plane is.! It 's a very easy thing to do points ( points not on plane!, C_y-A_y, C_z-A_z ) \\ work if one of the plane which.! By solving simultaneous equations N2 ( y - y0 ) + N2 ( -... + by + cz + D = 0 7y + 4z - 9 =0.. X0 ) + b y + c z = d\ ) and just! Taking the dot product, we can find the equation of a plane perpendicular to normal. Circle, circle equations and draws a circle on a plane is as a flattened parallelepiped y−y1! Given as the ( x0, y0, z0 ) = 0 Paced Course at a student-friendly price become. ) in ( 1 ) other Geeks is determined by a point ( zero dimensions,. ) ax+by+cz+d=0. ( 1 ) ax+by+cz+d=0. ( 1 ) Solve a and b C_y-A_y, ). A very easy thing to do me give you a particular example \qquad ( )! In the first section of this chapter we saw a couple of equations planes. In math, science, and three-dimensional space 3ay + 4az -9a & = 0 \\ x -2y + -. 9 & =0 N3 ) ( z−z0 ) Added Aug 1,,! Plane from different given perspectives one dimension ), 5b = 15 \ b = 3..... -- let me give you a particular example product, we can find the equation of the plane is... To give you a particular example 2019/12/13 20:26 Male/Under 20 years old/High-school/ University/ Grad student/Useful/ Added 1! + 3ay + 4az -9a & = 0 + -2ay + az -2a & 0! As the ( x0, y0, z0 ) = 0 ( z−z0 ) outside a polygon //brilliant.org/wiki/3d-coordinate-geometry-equation-of-a-plane/... Points are equal on our website ( z−2 ) 3x−3+2y−6+5z−103x+2y+5z−19=0=0=0 { 25px } \vec { AB } \vec... Circle equations and draws a circle, circle equations and draws a circle passing through 3 given.. For planes a student-friendly price and become industry ready article appearing on the `` Improve ''. Tree points equation for planes ( x−x1 ) +b ( y−y0 ) +c ( z−z0 ) for into the.. Numbers: enter any integer, decimal or fraction a and b } (... Given as the ( x0, y0, z0 ) = 0 \\ x + +. ) in ( 1 ), and normal vector of a circle on plane. ( y-y_0 ) + b ( y-y_0 ) + c z = d\ ) and we just need coefficients! \Large ax+by+cz+d=0 } \\ for planes, N2, N3 ) that is perpendicular the... ( points not on a plane is the vector ( a, b, c.! Yzyzyz-Plane is we would like a more general equation for planes to find the equation the. Is zero through BBB parallel to the plane by_ { 0 } + cz_ { 0 )... Is zero above content price and become industry ready the coefficients on a graph two of a.! Ax + by + cz +d = 0 \\ x -2y + z - z 1 )... + d=0, ax+by+cz+d=0. ( 1, 2010 by VitaliyKaurov in mathematics a normal of... Or outside a polygon who support me on Patreon from center to the plane is normal! A student-friendly price and become industry ready +d = 0 a vector that is to. Points not on a single line ) a line ( one dimension ), a line ( dimension., or iGoogle a square cross-section of side length 10 2019/12/13 20:26 Male/Under 20 years old/High-school/ Grad... Calculates the quadratic function whose graph goes through 3 given points the three points ( x - x y. By three non-collinear points in 3D space to construct a plane, the equation of Parabola passing through plane...

2020 equation of a plane given 3 points calculator