Hello,(adsbygoogle = window.adsbygoogle || []).push({});

Suppose I have a vector equation:

\begin{cases}

x=0+10t\\

y=0+10t\\

z=0+10t

\end{cases}

Which forms the symmetric equation [itex]\frac{x-0}{10}=\frac{y-0}{10}=\frac{z-0}{10}[/itex]

Now, I know the symmetric equations can be split up so that you can form the two planes whose intersection yields the initial vector:

[itex]\frac{x-0}{10}=\frac{y-0}{10}[/itex] and [itex]\frac{y-0}{10}=\frac{z-0}{10}[/itex]

but I haven't been able to find any examples on how to get from the split symmetric equations of the line to two separate equations of a plane in standard form.

Would I just cross multiply each?

and get

Plane 1: x = y or x - y + 0z = 0

Plane 2: y = z or 0x + y - z = 0

**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!

# Equations of Planes from Symmetric Equation of a Line

Loading...

Similar Threads - Equations Planes Symmetric | Date |
---|---|

B Surface created by 1 plane equation | Jun 16, 2016 |

Equation of the tangent plane in R^4 | Feb 17, 2015 |

Multivariable calculus equation of a plane | Jul 17, 2013 |

Help in equation of a plane? | May 7, 2012 |

Help! Exam in one hour! Find equation of plane? | Mar 16, 2012 |

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