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_sKuEZ4v7CXGjzm1YUOuC3Ot9DqYXTA8XyW9fyW5eFFPF6nQQuuOcfpAAxGm5JD7V6QUlL_6-uL4TNlk1GP9Tcl8D7rJPYzrMEwdfeHwOOqSr05-fWT7jHK3gWA6yD2DJETQliUEHKK_CQtIhVdc8E1JDzO4c96JOlnJuc=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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