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_uIZzb0-_qxVx4ZIiImcz6Emfd6v4S-041eLhqcCp_W5Eu83kOgDBxD4-Rp24rKL6RMHEvPV6KVcZNl9Lcm_MpPa5J4SWzU7BgMpbEa0P10I79n_dFQB6EFYBjiMHTeU7A4y0CP555kbJwfWaj0wJUO-m98NY36nhdB-Fk=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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