Equation of a Plane Calculator

Point 1: (x1,y1,z1)


Point 2: (x2,y2,z2)


Point 3: (x3,y3,z3)



How does the Equation of a Plane Calculator work?
Free Equation of a Plane Calculator - Given three 3-dimensional points, this calculates the equation of a plane that contains those points.
This calculator has 3 inputs.

What 1 formula is used for the Equation of a Plane Calculator?

Ax + By + Cz + D = 0
|A| = y1(z2 - z3) + y2(z3 - z1) + y3(z1 - z2)
|B| = z1(x2 - x3) + z2(x3 - x1) + z3(x1 - x2)
|C| = x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)
|D| = x1(y2z3 - y3z2) + x2(y3z1 - y1z3) + x3(y1z2 - y2z1)


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What 6 concepts are covered in the Equation of a Plane Calculator?
determinant
value computed from a square matrix
det(A) or |A|
equation
a statement declaring two mathematical expressions are equal
equation of a plane
formula to graph the points in a plane
Ax + By + Cz + D = 0
matrix
a rectangular array of numbers or symbols which are generally arranged in rows and columns
plane
a flat, two-dimensional surface that extends indefinitely
point
an exact location in the space, and has no length, width, or thickness
Example calculations for the Equation of a Plane Calculator



Equation of a Plane Calculator Video

Equation of a Plane Calculator Video