# A) Point (0,3,-6) is mirrored about the xz plane, rotated 45° about the y-axis, and then...

###### Question:

a) Point (0,3,-6) is mirrored about the xz plane, rotated 45° about the y-axis, and then translated (4,2,-5). Determine the new coordinates of the point.

b) Point (1,5,3) is rotated -60° about the z-axis, translated (-2,7,5), and mirrored about the xy plane. Determine the new coordinates of the point.

c) A line is defined by endpoints (1,2,3) and (4,5,6). A scaling transformation of 1.5 is applied to the line. Determine the coordinates of each endpoint after the transformation is applied. Calculate the length of the line before and after the transformation to verify your answer.

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