Hello, i need help with the following questions please and thank you.

1.) You are given the vector A = 2.0i + 3.0j - 1.0k (a) Find the magnitude of A. (b) Find the angle A makes with the x-y plane. (c) Find the angle A makes with the z-axis. (d) Find A. (8 points) 2.) (a) Prove that for any three vectors A, B, and C, that A . (B x C) = (A x B) .C. (b) Calculate ( Ax B).C for the three vectors A with a magnitude A| = 5.00 and angle GA = 26.0 measured from the +x axis toward the ty axis, B with | B) = 4.00 and OB = 63.0 measured from the +x axis, and C with |C) = 6.00 and in the +z direction. Vectors A and B are in the xy-plane. (10 points)3.) A sled starts from rest at the top of a hill and slides down with a constant acceleration. At some later time it is 14.4m from the top; 2.00s after that it is 25.6m from the top, 2.00s later 40.0m from the top, and 2.00s later it is 57.6m from the top. (a) What is the magnitude of the average velocity of the sled during each of the 2.00s intervals after passing the 14.4m point? (b) What is the acceleration of the sled? (c) What is the speed of the sled when it passes the 14.4m point? (d) How much time did it take to go from the top to the 14.4m point? (e) How far did the sled go during the first second after passing the 14.4m point? (10 points) 4.) A model rocket has a constant upward acceleration of 40.02 while its engine is running. The rocket is fired vertically, and the engine runs for 2.50s before it uses up the fuel. After the engine stops, the rocket is in free fall. The motion of the rocket is purely up and down. (a) Sketch the dy - t, vy - t, and y - t graphs for the rocket. (b) What is the maximum height that the rocket reaches? (c) What will be the speed of the rocket just before it hits the ground? (d) Is the total time of flight equal to twice the time the rocket takes to reach its highest point? Why or why not? (8 points)