A particle travels along a path r(t) = (3-2t, 1-t, 4) until it hits the plane...

 

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A particle travels along a path r(t) = (3-2t, 1-t, 4) until it hits the plane x-y+z=1, then reflects. Give a parametrization for the particle's new trajectory. A particle travels along a path r(t) = (3-2t, 1-t, 4) until it hits the plane x-y+z=1, then reflects. Give a parametrization for the particle's new trajectory.