$14-65.$ The strain at point $A$ on the bracket has components $lo{n}_x=300({10}^{-6}),lo{n}_y=550({10}^{-6}),{}_{xy}=-650({10}^{-6}),lo{n}_z=0.$ Determine $($a$)$ the principal strains at $A$ in the $x-y$ plane, $($b$)$ the maximum shear strain in the $x-y$ plane, and $($c$)$ the absolute maximum shear strain.

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