Question

If R(t)= beginpmatrix cos t & sin t
-sin t & cos t endpmatrix, then R(s)R(t) equals

• A. \(R(s+t)\)
• B. \(R(s-t)\)
• C. \(R(s)+R(t)\)
• D. None of these

Hint:

Rotation matrices add angles under multiplication.

Answer 1

The Correct Option is A

Rotation matrices satisfy: R(s)R(t)=R(s+t).