No notes, calculators, or other aids are allowed. Read all directions carefully and write your answers in the space provided. To receive full credit, you must Show all of your work. 1. Let P(1, 1, 1), Q(3,0, 1), R(2, 2,0) be 3 points in space, and a: = 1%, a = FR' be 2 vectors in Space. (a) (6 points) Calculate 25 = 211' + 317, and nd its length and direction. (b) (6 points) Calculate 131} = proju-if, and nd the scalar component of 17i- (c) (6 points) Let 11-); = 21' 31?, nd cosine of the angle between 17)? and 133. Are they orthogonal