Find the distance from the point (6,-7,-2) to the xy-plane. a) Determine the equation of the plane parallel to the yz-plane passing through the point (-4, 6, 5). x = -4 b) Find the an equation of the plane passing through points (5, 1, 9), (3, 6, 9), and (-6, 8, 9). Given the points A: (-2,-4,-5) and B: (1, 2, 6), find the vector i = u = AB Vector v = (-3, 4, 7) has initial point (-4, 7, 13). Find the terminal point. Let a = -57-43 and b = - - 53 - 2k. Find - 2a + 3b. - 2a + 3b = Let = (1, 2, 2). Find ||a||. - Find a vector parallel to i 3j 6k and with magnitude |||| V = 7. A quarterback is standing on the football field preparing to throw a pass. His receiver is standing 20 yd down the field and 15 yd to the quarterback's left. The quarterback throws the ball at a velocity of 61 mph toward the receiver at an upward angle of 31. Write the initial velocity vector of the ball, v, component form. (0,0,0) 31 x = 20 yd y = 15 yd (Round your answer to 1 decimal place)