MVC SHOW ALL WORK !! No Calculator Quiz #1 NAME: #1(3 pt's) Find the parametric equations of the line that contains the point (1,2,3) and is parallel to x 2 z+1 , y 4. the line with symmetric equations 5 3 #2(4 pt’s). Let x = (3, 4, –1) and y = (–5, 2, 1). a. Find x . b. Find projx y x 1 2sin t #3(4 pts) Describe the curve given parametrically by y 3 sin t , 0 t 2 . (You need not z 2 3sin t graph the curve). Be as explicit as possible. Describe the shape of the curve and how it is traced out as t goes from 0 to 2 . MVC #4(4 pt’s) Let u , v , w 3 . Determine whether each statement is true or false. If true, prove it. If false, give an example that demonstrates it is false. i. If u 0 and u w u v , then w v ii. u v u v #5(5 pt's) Let x (5, a,3a ) and y (10, 4, 6a ) a. Find all values of a such that x and y orthogonal. b. Find all values of a such that x and y parallel. MVC #6 (3 pt’s) Prove that the midpoints of a quadrilateral in MVC 3 form a parallelogram.