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Rectangular Form (Coordinates)
Equations to convert polar to rectangular (and vice versa)
Equations to convert rectangular to parametric
Equations to convert parametric to rectangular
Equations to convert polar to parametric
r=ro+tm = <x,y,z>+t<x,y,z>
vector equation of a line
x(t)=? y(t)=? z(x)=?
parametric equation of a line
x= -2 + 2cosθ
Find the vector equation and the parametric equations of the line that passes through points (2, 4, -3) and (3, -1, 1). At what points does the line intersect the x, y, and z planes.
x(t)= -t y(t)=1+2t z(t)=5+7t
Find the parametric equations of the line of intersection of the planes: 2x+y=1 and x-3y+z=2
r=<-2 + 2t, 4 - 4t,10 + 5t>
Find a vector equation and parametric equations for the line through the point (-2, 4, 10) and parallel to the vector: v= 2i −4j +5k .
[r² = 2 csc 2θ] [xy = 1; x > 0] [x = e∧t y = e∧-t; x & y > 0]
Find a vector equation and parametric equations for the curve by eliminating the parameter: x=3t, y=5t
r=<3t, 4+2t, -3+t>
Find a vector equation and parametric equations for the line through the point (0, 4, -3) and perpendicular to the plane: 3x+2y+z=2