Mathematics
Grade9
Easy

Question

What is the rotation matrix for 270° rotation?

  1. open square brackets table row 0 1 row cell negative 1 end cell 0 end table close square brackets    
  2. open square brackets table row 1 0 row 0 1 end table close square brackets    
  3. open square brackets table row 0 cell negative 1 end cell row 1 0 end table close square brackets    
  4. open square brackets table row cell negative 1 end cell 0 row 0 cell negative 1 end cell end table close square brackets    

Hint:

We have the formula for rotation below
Error converting from MathML to accessible text.

The correct answer is: open square brackets table row 0 1 row cell negative 1 end cell 0 end table close square brackets


    Rotation matrix for 270° rotation:
    open square brackets table row 0 1 row cell negative 1 end cell 0 end table close square brackets

    rotation matrix can be defined as a transformation matrix that operates on a vector and produces a rotated vector such that the coordinate axes always remain fixed.

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