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.
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)
|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)
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
