List and describe the three properties of vector

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11. List and describe the three properties of vector arithmetic. Give an example of each property using vectors in Cartesian form. (12 marks: 4 marks for each property)
Associative Property of vector addition: Find the sum of the first two vectors then add the third.
Task 4: Application Questions 12. A toy car slides down a ramp 3.6 m long. The function s ( t )= 0.4 t 2 models this scenario, where s ( t ) represents the displacement of the car from its starting point in meters, and t represents time in seconds. a. How long does it take the car to reach the bottom of the ramp? (2 marks)
b. What is the car’s velocity when it reaches the bottom of the ramp? (2 marks)
c. What is the car’s acceleration when it reaches the bottom of the ramp? (1 mark)
13. A transit company charters buses for scenic tours around Niagara Falls. There are 47 seats on the bus and the price per seat is $30. For every increase of $4 in the price per seat, there is a decrease of 2 people who sign up for the tour. a. What price should the company charge per seat to maximize revenue? (5 marks)

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