ECON 134A Midterm: ECON 134A UCSB Test3A 2011Spring
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Please read these instructions carefully: you have 80 minutes to complete this exam, this is a closed book exam, and no notes of any kind are allowed. Please record your answers in the space provided above: where it is possible to check your work, do so, good luck! 7: if u = (3, 3, 3) and v = (2, 1, 3) nd the orthogonal projection of u on v, i. e. projvu, 9. 9: what is the area of the triangle with vertices (3, 0, - 2), (5, 2, -1) and (5, 9, 0), 11, 13, 15, 13, 15, 17. 11: express the following complex numbers in the form a + b i: z1 = 1 + i z2 = (2 + i)(2 + 2i: z1 = 1 i ; z2 = 4 + 4i, z1 = 1 + i ; z2 = 2 + 4i, z1 = 1.