Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Rotation matrices

  1. Jun 13, 2012 #1
    Show that a rotation by θ followed by a rotation by φ can be expressed as either
    two consecutive rotations, or one rotation of (θ + φ). That is, show that Qθ Qφ = Qθ+φ, where Q is the rotation matrix.

    Can any one answer this question I'm a beginner in Linear Algebra
     
  2. jcsd
  3. Jun 13, 2012 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    Re: Need Answer

    What is the rotation matrix with angle [itex]\theta[/itex]??
     
  4. Jun 13, 2012 #3
    do the matrix multiplication and see what happens
     
  5. Jun 13, 2012 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    You will need the trig identities [itex]cos(\theta+ \phi)= cos(\theta)cos(\phi)- sin(\theta)sin(\phi)[/itex] and [itex]sin(\theta+ \phi)= sin(\theta)cos(\phi)+ cos(\theta)sin(\phi)[/itex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Rotation matrices
Loading...