Boron trifluoride, (mathrm{BF}_{3}), is a planar molecule, with the three fluorines bonded to a central boron. All

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Boron trifluoride, \(\mathrm{BF}_{3}\), is a planar molecule, with the three fluorines bonded to a central boron. All three bond angles F-B-F are \(120^{\circ}\).

(a) What are its symmetry operations (including mirrors/inversions)?

(b) For each symmetry operation, which atoms stay at home?

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