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.

__Plane Equation:__

a(x - x_{0}) + b(y - y_{0}) + c(z - z_{0}) = 0__Parametric Equation:__

X = X_{0}+ tA

x = x_{0}+ tu

y = y_{0}+ tv (-∞ < t <∞)

z = z_{0}+ tw

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- 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 r
^{3} - vector
- directed line segment