Look at rubric to answer

Work MUST be typed in ANSWER BOX Question 1: Question 2: Part A: /2 (Subtract initial from terminal - work) /2 (Correct linear forms) Part A: /2 (Angle between) /3 (work shown) Part B: /2 (Magnitude) /2 (Reference Angle) /2 (Correct angle) Part B: /1 (choose scalar) /1 (vector) /2 (Trig form) Part C. /1 (dot product) /1 (work shown) /1 (answer) Part C. /1 (Correct vector) /2 (work shown ) Question 3: Question 4: Part A: /1 (vector 1) /2 (work for vector 1) /1 (vector 2) Part A: /2 (trig form vectors) /2 (work shown) /2 (work for vector 2) Part B: /1 (dot product) /2 (work shown) Part B: /1 (added vectors) /1 (work shown) Part C. /1 (Angle between cable) /2 (work shown) Part C: /2 (speed) /1 (ref. angle) /1 (direction) /3 (work shown)Question 1 (Essay Worth 15 points) (07.02, 07.03 HC) Vector u= PQ has initial point P (2, 14) and terminal point Q (7, 3). Vector v=RS has initial point R (29, 8) and terminal point S (12, 17). Part A: Write u and v in linear form. Show all necessary work. (4 points) Part B: Write u and v in trigonometric form. Show all necessary work. (8 points) Part C: Find 7u - 4v. Show all necessary calculations. (3 points) Question 2 (Essay Worth 10 points) (07.04 HC) Vectors t = -6i - 2j, u = -4i - 8j, and v = -4i + 12j are given. Part A: Find the angle between vectors t and u. Show all necessary calculations. (5 points) Part B: Choose a value for c, such that c > 1. Find w = cv. Show all necessary work. (2 points) Part C: Use the dot product to determine if t and w are parallel, orthogonal, or neither. Justify your answer. (3 points)Question 3 (Essay Worth 15 points) (07.06, 07.07 HC) An airplane ies at 500 mph with a direction of 135\" relative to the air. The plane experiences a wind that blows 60 mph with a direction of 60. Part A: Write each of the vectors in linear form. Show all necessary calculations. (6 points} Part B: Find the sum of the vectors. Show all necessary calculations. {2 points) Part 6: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations. (7 points) Question 4 (Essay Worth 10 points) (07.07 HC) An object is suspended by two cables attached at a single point. The force applied on one cable has a magnitude of 110 pounds and acts at an angle of 50\". The force on the other cable is 60 pounds at an angle of 160. Part A: Write each vector in component form. Show all necessary work. (4 points) Part B: Find the dot product of the vectors. Show all necessary calculations. (3 points) Part 0: Use the dot product to nd the angle between the cables. Round the answer to the nearest degree. Show all necessary calculations. (3 points}