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I. Let P = (-2,3). Q = (3,13), R = P+Q, v = Q - P and ( = P + . Moreover, let X = (x1, 12) be any point of E-. 1. Find (P. Q). 2. Find Jel. 3. Write the equation of the line ( in the form ar + by + c =0. 4. Find A E ( and a unit vector o s.t. the line A + [a] is perpendicular to / and passes through R. 5. Find B (distinct from R) and a unit vector 8 s.t. the line B + [8) is parallel to ( and passes through R. 6. What is 2(X)? 7. If m 1 { and P E m, what is ?!(X)? What is ?_Q,(X)? 8. If G is the glide reflection Topfly, what is Go(X)? 9. Let a be the line parallel to { passing through R. Find d((, n). 10. Let a be as in Q9. What is ?,0.(X)? What is ?_0,(X)? II. Let X = Find the image of X under the following isometries. 1. 12, where { is the line with equation x - 2y -6 = 0 2. Te, where T 3. G. the glide reflection defined by fe in (1) and Te, where we = (4,2) 4. R, the (counterclockwise) rotation about the origin at an angle x/3