Answer the question SPECIFIC!

7. (a) For what values of a are the given vectors orthogonal? ( -7, 2x, 3 ), ( 2x, x, 8 ) (b) Find the vector, not with determinants, but by using properties of cross products. (ix j) x k9. The tension T at each end of the chain has magnitude 220 N and makes an angle Z a = with the horizontal. What is the weight of the chain? (use diagram below, and you may assume that g = 9.8 m/s?) 10. Find the distance between the given parallel planes: 2z = 4y - 4x, 3z =1 - 6x + 6y 11. Find a vector function that parametrizationsection of the surfaces described below: cylinder : x2 + 72 = 1 plane : y + z = 213. Suppose the velocity of a particle is described by: V6] 3 (l _ 2t, 2t, 0) and the position 7WD) 2 (0', f}, 2) is known. (3.) Find the position function 7(t) (b) Find the acceleration vector 30;) (c) Find the minimum speed of the particle and the time it occurs