Derive the matrix that represents a pure rotation about the (i) y-axis , (ii) z-axis and (iii) x-axis of the reference frame with the help of diagram.

glasskerfu 2021-02-20 Answered
Derive the matrix that represents a pure rotation about the (i) y-axis , (ii) z-axis and (iii) x-axis of the reference frame with the help of diagram.
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Alannej
Answered 2021-02-21 Author has 104 answers
Step 1:- Introduction:-
A basic rotation also called elemental rotation is a rotation about one of the axes of a co-ordinate system.
Step 2:- Calculation:-
The Following three basic rotation matrices rotate vectors by an angle θ about x, y, z axes , in three dimensions which codifies their alternating signs.
Rx(θ)=[1000cosθsinθ0sinθcosθ]
Ry(θ)=[cosθ0sinθ010sinθ0cosθ]
Rz(θ)=[cosθsinθ0sinθcosθ0001]
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Jeffrey Jordon
Answered 2022-01-29 Author has 2313 answers

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