Given that you have the point W = (x; y), W = (2, 3). Draw W on a 2D coordinate plane. Then, perform the following Homogeneous Transformations on W. Show matrix-based calculations that are necessary along with drawing of 2D coordinate plane after each step. * i.Scale by 3 in the x direction, 2.5 in the y direction; * ii.Rotate the new point by 1230; then * iii.Translate the new point -7 in the x direction, 12.5 in the y direction. * iv.Draw all steps
Question 1 Given that you have the point W = (x; y), W = (2, 3). Draw W on a 2D coordinate plane. Then, perform the following Homogeneous Transformations on W. Show matrix-based calculations that are necessary along with drawing of 2D coordinate plane after each step. * i.Scale by 3 in the x direction, 2.5 in the y direction; * ii.Rotate the new point by 1230; then * iii.Translate the new point -7 in the x direction, 12.5 in the y direction. * iv.Draw all steps. Question 2 Perform Inverse Homogeneous Transformations on the outcome of the Question 1. That is start with the W``` (the last point), how would you come back to W (the point you started from in Question 1). Perform all steps and draw.
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