7. (12.3) Suppose that 1751 and 7.72 are orthogonal unit vectors in R2. That is, lfll = l'gl = 1 and 1'51 '52 = 0. 1) If {1 = (0,1) and 1762 = (as, y), then what are the possibilities for :3 and y? 2) If 1751 = (Vi/2, /2) and {2 = (as, y), then what are the possibilities for so and y? 3) Suppose 17 E R2. Show that projfl1 (if) = (13' - t't'l. 4) Suppose if} E R2. Show that 10' = (u? - it'fl + (\"LU - gg. (Hint: Draw the appropriate right triangles and use cos and sin.) [Writing vectors as a sum of orthogonal unit vectors is an important idea with myriad applications throughout engineering, the physical sciences, and the social sciences]