The point P ( 1 , 2 , 3 ) is reflected in the x y - plane, then its image Q is rotated by 18 0 ∘ about the x - axis to produce R , and finally R is translated in the direction of the positive y -axis

Question

The point P ( 1 , 2 , 3 ) is reflected in the x y - plane, then its image Q is rotated by 18 0 ∘ about the x - axis to produce R , and finally R is translated in the direction of the positive y -axis through a distance d to produce S ( 1 , 3 , 3 ) . The value of d is

TestHub · Accepted Answer

Reflecting the point ( 1 , 2 , 3 ) in the x y -plane produces ( 1 , 2 , − 3 ) . A half turn about the x -axis yields ( 1 , − 2 , 3 ) . Finally translation 5 units will produce ( 1 , 3 , 3 )

Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

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