If you have two end points of x0,y0,z0 and x1, y1, z1 respectively of a parametric cubic curve and their known derivatives how do you find its middle coordinates x0.5, y0.5, z0.5

Any help that would be great thanks.

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- Oct 11th 2009, 02:59 PMjpezzeParametric Cubic Curve Middle Coordinates
If you have two end points of x0,y0,z0 and x1, y1, z1 respectively of a parametric cubic curve and their known derivatives how do you find its middle coordinates x0.5, y0.5, z0.5

Any help that would be great thanks. - Oct 14th 2009, 08:56 AMMedia_Man
First, write the general formula...

For vector variables

Given vectors , you should be able to easily solve this system for ...

All of these are vectors, so you now have your general parametric equation

Plug and chug.