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_uNDZ-QJbgeoX-87I4g3ktqT1F2wg5y1-GKnZIzXQHdJhZGGoh5TStQ5Z5KjYec0qquz5JfNy-3mggcIZVg9voR8SHnp7bTKvYizJAQmR18y6zC_JwnJxix8j2C5mYH1jV4-Kh4YIvq5o8UrzjVBetY_0tipv8n5QhCW8A=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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