Please solve and explan these question below in details.

1. LetE= (2. 5. si,E=(3, -1,7),E= (a. 4, -3) a) Determine a . E b) Determine the angle between E and E o) Suppose E + 3+ E: 0. Find 3 d} Determine whether E . E and E are coplanar or not. 2. The vectors {2 + a. 3. -7) and (4. -a, 2} are perpendicular, find the value of a. 3. Two tow trucks are pulling on a truck stuck in the mud. Tow truck #1 is pulling with a force of 635 N at 51 from the horizontal while tow truck #2 is pulling with a force of 592 N at 39 from the horizontal. What is the magnitude and direction relative to the horizontal of the resultant force? 4. An object with a mass of 15 kg is being held by two wires making angles of 30 and 15 with the ceiling. Calculate the magnitude of the tension in the wires. (Assume that a 1kg mass exerts a force of 9.8M) 5. A river is 2 km wide and flows at 4 km i'h. A motorboat that has a speed of 10 kah in still water heads out from one bank to a marina that lies directly across the river. on the opposite bank. a. Sketch a diagram. b. At what angle should the motorboat travel to reach the marina? c. How long will it take for the motorboat to reach the other bank