The problem I am having is a problem in my textbook. It says that if we have xy Cartesian coordinate system, and if we then have a rotated coordinate system x'y', then to get the vector in the x'y' in terms of the xy system, we use the following arguments for the unit vectors:(adsbygoogle = window.adsbygoogle || []).push({});

i'=icos[itex]\Phi[/itex] +jsin[itex]\Phi[/itex]

j'=jcos[itex]\Phi[/itex] -isin[itex]\Phi[/itex]

I don't understand how this was derived, or where it came from. I try to use the right-angle definition for trig ratios, but I keep getting different numbers, and don't see how this relation is true. I would realy appreciate it if somebody could provide a simple explanation.

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

Join Physics Forums Today!

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

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

# Describing vectors in a different coordinate system

Loading...

Similar Threads - Describing vectors different | Date |
---|---|

I Function describing a moving waveform | Jan 14, 2018 |

I Why are "irrational" and "transcendental" so commonly used to describe numbers | Jun 9, 2017 |

I How are Vectors described in Bispherical Coordinates? | Oct 11, 2016 |

I Is this a correct way to describe number sets? | Sep 15, 2016 |

I Describing a position vector with polar coordinates. | Aug 30, 2016 |

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