Example 9: show that the order in which transformations are performed is important by applying the transformation of the triangle abc by: (i) rotating by 45o about the origin and then translating in the direction of the vector (1,0), and (ii) translating first in the direction of the vector (1,0), and then rotating by 45o about the origin, where a = (1, 0) b = (0 ,1) and c = (1, 1).
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