Solving problems involving operations on vectors

The temperature drops 15^o over the course of 5 hours. What is the average change in temperature over the 5 hours?

• 3 degrees per hour

• -3 degrees per hour

• 10 degrees per hour

• -10 degrees per hour

An airplane flying due south (270°)  485 mph against a 25 mph wind blowing due west(180°). Determine the new speed and direction of the plane.

• Direction 267.0°
  Magnitude 485.6mph
• Direction 93.0°
  Magnitude 485.6mph
• Direction 237.0°
  Magnitude 485.6mph
• Direction 87.0°
  Magnitude 510.0mph

You are traveling to the left at 3 m/s. Where were you 10 seconds ago

• -30

• 30

• 3.3

• -3.3

In the diagram, PQST and PQRS are parallelograms. $\overrightarrow{PQ}$ =9a̰ and $\overrightarrow{PT}$  =6b̰ . Determine  $\overrightarrow{PR}$ in terms of a̰ and b̰.  

•  $\overrightarrow{PR}$  =18a̰ - 6b̰

•  $\overrightarrow{PR}$  =3a̰ + 6b̰

•  $\overrightarrow{PR}$  =18a̰ + 6b̰

•  $\overrightarrow{PR}$  =9a̰ + 6b̰

Find 3u - 2v

• 15

• <21,-6>

• -15

• <-21,6>

• m = 4

• m = 2

• m = 3

• m = 5

30m/s @ 25ºN of E is 

• polar coordinate notation
• unit vector notation
• a scalar
• a quasar

A river flows due south at 3 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the water. Find the true speed and direction of the swimmer.

• 3.6 mi/hr, -3/2 degrees

• <2,-3>, 56.3 degrees

• <2,-3>, -56.3 degrees

• 3.6 mi/hr, 303.7 degrees