Assignment: Vector Projection Directions: Answer the following questions. Questions: For questions 1 3, vectors 3 and V are given. Find the vector projection of V onto 3. 1.E= andi7= 2.3 andv andi/' 3.3 For questions 4 9, round all answers to the nearest tenth, if necessary. 4. A box is on the side ofa hill inclined at 30. The weight of the box is 40 pounds. What is the magnitude of the force required to keep the box from sliding down the hill? 5. Sarah is on a sled on the side ofa hill inclined at 60. The weight of the sled is 125 pounds. What is the magnitude of the force required for Sam to keep Sarah from sliding down the hill? 6. A 1780-pound car is parked on a street that makes an angle of 15 with the horizontal. Find the magnitude of the force required to keep the car from rolling down the hill. 7. A 1900-pound car is parked on a street that makes an angle of 10 with the horizontal. Find the magnitude of the force required to keep the car from rolling down the hill. 8. A 30pound force that makes an angle of 32 with an inclined plane is pulling a box up the plane. The inclined plane makes a 20 angle with the horizontal. What is the magnitude of the effective force pulling the box up the plane? 9. A ZZpound force that makes an angle of 12 with an inclined plane is pulling a box up the plane. The inclined plane makes a 25 angle with th horizontal. What is the magnitude of the effective force pulling the box up the plane