Given the points A( - 3, - 1), B(6,14), C(3,4), D(5,4), E(v/5, v5 ), and F (5v5, -5v5 ) , find the position vector equal to the following vectors. a. AB b. AC C. EF d. CD a. AB = (9 , 15) (Type exact answers, using radicals as needed.) b. AC = (6 ,5) (Type exact answers, using radicals as needed.) C. EF =( (Type exact answers, using radicals as needed.)A small plane is flying horizontally due east in calm air at 225 mi/hr when it is hit by a horizontal crosswind blowing southwest at 40 mi/hr and a 30 mi/hr updraft. Find the resulting speed of the plane and describe with a sketch the approximate direction of the velocity relative to the ground. Let the unit vectors i, j, and k point east, north, and upward, respectively. Begin by writing vectors describing the velocity of the plane, the crosswind, and the updraft. What is the position vector that represents the velocity of the plane relative to the ground? The vector is (Di + ( Di+ (OD) k (Type exact answers, using radicals as needed.)Which point is farther from the on'gin, (- 2, -4,3} or (0.1], -2}? Select the correct answer below. The point [ 2, 4,3} is D units from the origin and is E the point {0,0, 2}, which is D units from the origin. (Simplify your answers. Type exact answers, using radir farther from the origin than the same distance from the origin as closer to the origin than \f