I've been scratching my head over this one. I'm trying to find a system of equations to solve for points R and S. The known parameters are: Point Q, tangent vector t and the axis vector a.(adsbygoogle = window.adsbygoogle || []).push({});

The following vectors are perpendicular to each other:

a,d

a,b

b,c

c,t

d,t

The other known parameter is that vector c has a magnitude of 0.0625. This creates a quadrilateral that is skew, with vector c and a being at an angle to each other and pulling the sides out of plane.

I'm trying to find the mathematical way of solving this across a number of points. SolidWorks can find one valid answer for the sample (and fully defines the topology) but I cannot get a system of equations to solve to match in Mathcad.

Any method would be appreciated? I'm trying to get it so that I don't have to rely on the SolidWorks sketch engine to reduce computation times.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Solving a 'skew' quadrilateral for vertex position.

Loading...

Similar Threads - Solving 'skew' quadrilateral | Date |
---|---|

I Problem when solving example with differential forms | Apr 9, 2017 |

Perimeter and surface area of skewed end semi cylinder | Oct 8, 2012 |

Solving Linear Geometry for a 'projected intersection' | Jul 20, 2012 |

Solving an irregular tetrahedron given 3 angles and 3 lengths | May 24, 2012 |

Can 5th order equations be solved by means other than radicals? | May 19, 2012 |

**Physics Forums - The Fusion of Science and Community**