How does the Plane and Parametric Equations in R3 Calculator work?
Free Plane and Parametric Equations in R3 Calculator - Given a vector A and a point (x,y,z), this will calculate the following items:
1) Plane Equation passing through (x,y,z) perpendicular to A
2) Parametric Equations of the Line L passing through the point (x,y,z) parallel to A
This calculator has 1 input.
1) Plane Equation passing through (x,y,z) perpendicular to A
2) Parametric Equations of the Line L passing through the point (x,y,z) parallel to A
This calculator has 1 input.
What 1 formula is used for the Plane and Parametric Equations in R3 Calculator?
Plane Equation:
a(x - x0) + b(y - y0) + c(z - z0) = 0
Parametric Equation:
X = X0 + tA
x = x0 + tu
y = y0 + tv (-∞ < t <∞)
z = z0 + tw
a(x - x0) + b(y - y0) + c(z - z0) = 0
Parametric Equation:
X = X0 + tA
x = x0 + tu
y = y0 + tv (-∞ < t <∞)
z = z0 + tw
What 7 concepts are covered in the Plane and Parametric Equations in R3 Calculator?
- equation
- a statement declaring two mathematical expressions are equal
- parallel
- parametric
- defines a group of quantities as functions of one or more independent variables called parameters.
- perpendicular
- two lines which intersect to form a right angle
- plane
- a flat, two-dimensional surface that extends indefinitely
- plane and parametric equations in r3
- vector
- directed line segment
Plane and Parametric Equations in R3 Calculator Video
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