First reflection, then rotation and finally translation
The point P(1,2,3) is reflected in the xy-plane. If the image of point P is Q, then OQ (where O is the origin) is rotated by in the plane containing OQ and the x-axis about O to produce R. Finally, the point R is translated by 5 units in the positive direction of y-axis to produce the point S. The sum of the coordinates of S is...
The answer is 5.
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1 solution
P(1,2,3) is reflected in the xy-plane, so the coordinates of Q are (1,2,-3).
Now, when OQ is rotated, |OR|=|OQ|
i.e. O is the mid-point of QR
So the coordinates of R are (-1,-2,3)
Coordinates of S- (-1,3,3)
sum=-1+3+3=5