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Equation of a Plane Calculator
Point 1: (x
1
,y
1
,z
1
) =
Point 2: (x
2
,y
2
,z
2
) =
Point 3: (x
3
,y
3
,z
3
) =
How does the Equation of a Plane Calculator work?
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| = y
1
(z
2
- z
3
) + y
2
(z
3
- z
1
) + y
3
(z
1
- z
2
)
|B| = z
1
(x
2
- x
3
) + z
2
(x
3
- x
1
) + z
3
(x
1
- x
2
)
|C| = x
1
(y
2
- y
3
) + x
2
(y
3
- y
1
) + x
3
(y
1
- y
2
)
|D| = x
1
(y
2
z
3
- y
3
z
2
) + x
2
(y
3
z
1
- y
1
z
3
) + x
3
(y
1
z
2
- y
2
z
1
)
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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
(2,4,6)(1,3,5)(9,8,4)
Equation of a Plane Calculator Video
