Question 1
Which of the following is a scalar quantity?
A. Velocity
B. Displacement
C. Speed
D. Force
Question 2
Two vectors of magnitudes, 5 units and 7 units, are added together. What is the maximum possible resultant magnitude?
A. 2 units
B. 5 units
C. 12 units
D. 15 units
Question 3
Which operation can convert a vector quantity into a scalar?
A. Addition
B. Subtraction
C. Scalar multiplication
D. Taking the magnitude
Question 4
If vector A represents 5 units east and vector B represents 3 units north, what is the magnitude of the resultant vector when A and B are added?
A. 4 units
B. 6 units
C. 8 units
D. 5.83 units
Question 5
Which of the following is NOT a vector quantity?
A. Acceleration
B. Momentum
C. Temperature
D. Weight
Question 6
a) Define a scalar quantity and provide two examples. [2]
b) A car travels 60 km to the north and then 80 km to the east. Calculate the magnitude of the resultant displacement of the car. [3]
Question 7
a) Explain the difference between a vector and a scalar quantity. [3]
b) A plane flies 150 km/h in a direction 30° north of east. Determine the eastward component of the plane's velocity. [2]
Question 8
a) Describe how vectors are represented graphically. [2]
b) Two forces act on an object: one of 5 N to the east and another of 12 N to the north. Calculate the magnitude of the resultant force on the object. [3]
Question 9
a) What is the significance of the direction of a vector? [2]
b) A boat travels 40 km to the west and then 30 km to the south. Calculate the magnitude of its resultant displacement. [3]
c) What angle does this displacement make with the west direction? [2]
Question 10
a) Define scalar multiplication and explain its effect on a vector. [3]
b) A force vector has a magnitude of 10 N and is directed north. What is its magnitude after undergoing a scalar multiplication by a factor of 2.5? [2]
c) If the original force vector was at an angle of 45° to the east of north, what will be its new direction after scalar multiplication? [2]