Find Magnitude and Direction of a Vector

Find the magnitude of the vector <2, -3>.

• √11

• 13

• √-4

• √13

A car travels 90 meters due north. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

• 40 meters, South

• 50 meters, South

• 50 meters, North

• 40 meters, North

In practice A of the figure, What is  the magnitude of the  resultant displacement?

• 5 km 

• 8 km

• 11 km

• 15 km

A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?

• 2 km

• 8.6 km

• 12 km

• 12.6 km

Which statement describes a vector?

• It has magnitude but no direction

• It has direction but no magnitude

• It has both direction and magnitude

• is it me, or are these all the same?

If a car moves 12 km North, 19 km East, and 12 km South, what is its displacement?

• 12 km

• 19 km, East

• 31 km

• 43 km, East

the direction (θ) for vector v. Round to three decimals.

• -74.054^o

• 105.945^o

• -15.945^o

• 164.055^o

Find the direction of the vector <-3, -5>.

• 59.03°

• 239.03°

• 210.96°

• 120.96°

Find the magnitude of the vector <10, -8>

• 2

• 12.81

• 6

• 18

Find the magnitude of the vector <5, 5>

• 0

• 10

• 25

• 7.07