22. Determine the vector and parametric equations for the line passing through the points P(-1,-3) and Q(3,5) a. 7 = (1,-3) + s(4,8), s € R c. 7 = (3,5) + s(1,2), s € R x=41-1, y = 8t-3,1 € R x=21-1, y = 4t-3,1 € R b. 7 = (1,0) + s(2,4), s € R d. all of the above x=1-1, y = 21-3,1 ER

P(2,5, 4) and Q(8,3,3) Let be the line through P in vector direction (1,2,3) and let II be the plane through Q perpendicular to (4,-1,-9). Find an equation for II.

Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

16. Find both the vector equation and the parametric equations of the line through (-2,2,8) and (1, - 4,0), where t =0 corresponds to the first given point. The vector equation is (x,y,z) = + (1). Find the parametric equations of the line through (-2,2,8) in the direction from (-2,2,8) toward (1,-4,0). The parametric equations are x = (Use the answer from the previous step to find this answer.) y%3D (1) O t(3,-6,-8). O t(-6,3,-8). O t(-8,-6,3). O t(-8,3,-6). 17. If possible, find the absolute maximum and minimum values of the following function on the region R. f(x,y) = 5 e-X-Y; R={(x,y): x20, y2 0} Determine the absolute maximum value of f(x,y) on R. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum value of f on R is O B. The function f(x,y) has no absolute maximum value on R. Determine the absolute minimum value of f(x,y) on R. Select the correct choice below and, if necessary, fill in the answer box to…