a ) consider the vector w with initial point (7, - 4) and terminal point (- 2, 5) Find the component form of w. b) Sketch w in standard position. C ) Find | |wll. d ) Find the direction angle of w. 7. A vector z has magnitude of 37 and a direction of 0 = 160 . Find z in component form. 8. Let p = (3, 4) , q = (-6, -2), and r = (-7,1) Show 5q + r algebraically. Show r - p graphically. (Plot r, p, and the resultant vector r - p) Bonus: True or False: There are two angles between 180 and 360 where cos 0 = 0.375. It is always possible to draw a triangle given two sides and the angle in between them. The vector with initial point at (1,8) and terminal point at (-2, 12) is equivalent to the vector with nitial point at (-4, -3) and terminal point at (-7, 1). The direction angle of vector w = is 53.13. ALCA + MATH