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.
= 3(2, 2) = (3x2, 3x2) = (6, 6) ?? ⃗ + ?? = 3(3,2) + 3(−1,0) = (3x3, 3x2) + [3 x (-1), 3 x 0] = (9, 6) + (-3, 0) = (9-3, 6+0) = (6, 6) Therefore a(? ⃗ + ? ) = ?? ⃗ + ?? Task 4: Application questions 12. A toy car slides down a ramp 3.6 m long. The function s(t)=0.4t 2 models this scenario, where s(t) represents the displacement of the car from its starting point in metres, and t represents time in seconds. a) How long does it take the car to reach the bottom of the ramp?
b) What is the car’s velocity when it reaches the bottom of the ramp?
S’(3)= 0.8x3=2.4m/s The velocity of the car is 2.4m/s when it reaches the bottom of the ramp. c) What is the car’s acceleration when it reaches the bottom of the ramp?

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