Establish, using vectors : \[ \sin (\mathrm{A}-\mathrm{B})=\sin \mathrm{A} \cos \mathrm{B}-\cos ...

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Establish, using vectors :
\[
\sin (\mathrm{A}-\mathrm{B})=\sin \mathrm{A} \cos \mathrm{B}-\cos \mathrm{A} \sin \mathrm{B} \text {. }
\]
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