The components of the orbital angular momentum operator

satisfy the following commutation relations.
What is the value of the commutator
![\left[L_x L_y,L_z \right ]](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vtUJi9XbHpIsd99VBl1yPF8rJYDmSp1YOPhnNlPZ1Y_ErB-VdShEfWkA-hRolOUrjt2M_3TjYgXvTIZPEK0FMN6NnSevhd88tT42KfEeqbqOPn2ThZvU-hoF58J8D6TWn7NhOROFJxUfaun57_2GQNx4YzMnIJLoTbXuw=s0-d)
?
A.
B.

C.

D.

E.
(GR0177 #43)
Solution:
Commutator
identities: [
A,
B] = − [
B,
A]
and, [
B,
AC] =
A[
B,
C] + [
B,
A]
C
Therefore,
Answer: D
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