Mastering Vector Subtraction

A boat is traveling east at 10 km/h and a current is flowing west at 5 km/h. What is the resultant velocity of the boat?

• 15 km/h east

• 5 km/h west

• 5 km/h east

• 10 km/h west

Two forces are acting on an object: 15 N to the north and 10 N to the south. What is the net force acting on the object?

• 10 N north

• 5 N south

• 5 N north

• 15 N south

A car moves 60 km east and then 30 km west. What is the car's displacement from its starting point?

• 60 km west

• 30 km east

• 30 km west

• 90 km east

A cyclist travels 20 km north and then 15 km south. Calculate the net displacement of the cyclist.

• 35 km north

• 5 km north

• 20 km south

• 15 km south

A plane flies 200 km at a bearing of 30° and then 150 km at a bearing of 210°. What is the resultant displacement of the plane?

• 100.00 km at 180°

• 75.00 km at 45°

• 200.00 km at 60°

• 50.00 km at 29.74°

A person walks 5 m east and then 3 m west. What is their final position relative to the starting point?

• 2 m west

• 5 m west

• 3 m east

• 2 m east

A vector A has components (4, 3) and vector B has components (1, 2). What is the result of A - B?

• (4, 2)

• (3, 1)

• (5, 5)

• (3, 2)

A ship sails 100 km north and then 40 km south. What is the total distance traveled and the net displacement?

• Total distance traveled: 100 km, Net displacement: 40 km south

• Total distance traveled: 140 km, Net displacement: 60 km north

• Total distance traveled: 140 km, Net displacement: 40 km north

• Total distance traveled: 60 km, Net displacement: 100 km south

A runner jogs 10 m east and then 6 m west. What is the runner's final position?

• 4 m east

• 4 m west

• 10 m west

• 6 m east

Two vectors, C = (7, 2) and D = (3, 5), are given. What is the vector result of C - D?

• (10, -3)

• (4, -3)

• (4, 3)

• (0, 3)