Let's define the vectors: u = (4,4) v = (- 7.3) The projection of u on v is: P = ((u.v) / (v ^ 2)) v We have then: u.v = (4,4). (- 7.3) u.v = (4) * (- 7) + (4) * (3) = -28 + 12 = -16 v ^ 2 = (- 7) ^ 2 + (3) ^ 2 = 49 + 9 = 58 Substituting we have: P = ((- 16) / (58)) (- 7, 3) Rewriting: P = -0.28 (-7, 3) Answer: the projection of (4,4) onto (-7,3) is: C) -0.28 (-7.3)
