1. Solve each system of equations: a. 2x + 3y + 4z = 3 4x + 6y + 8z = 4 5x + y - z =1 b. xty+ z = 300 xty - z = 98 x- y + z = 100 2. Determine the distance from the point A(- 2, 1, 1) to the line r = (3,0, - 1) + t(1, 1, 2), tER. What are the coordinates of the point on the line that produce the shortest distance? 3. a. Determine the equation of the line of intersection L between the planes 71: 2x + 3y - z = 3 and 72: -x+ y + z =1. b. Determine the point of intersection between L and the xz-plane