Vector Applications

If c=<-5, 4> and d=<8, 0>, calculate 2c+d

• <-2, 8>
• <-2, 0>
• <6, 8>
• <6, 0>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

If a=<-4,6> and b=<-3, -7>, calculate a-b:

• <-7, 13>
• <-7, -1>
• <-1, 13>
• <-1, 1>

Calculate the direction angle (in degrees) for the vector <3, 12>

• 75.9
• 14.1
• -75.9
• -14.1

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.8

CCSS.HSN.VM.A.1

What is the direction angle (in degrees) for a boat traveling
S20°E?

• 160
• 70
• 340
• 290
  290

What is the direction angle (in degrees) for a plane on course 320°?

• -320
  -320
• 130
• 40
• 50

Find the magnitude of the vector <-5, 14>

• 14.9
• 13.1
• 15.1
• 9

Tags

CCSS.HSN.VM.A.1

Find the magnitude of AB if the initial point is (-3, 1) and the terminal point is (3, 9)

• 6
• 8.2
• 10
• 10.4

Find the component form of AB with initial point A(0, 8) and terminal point B(-9, -3)

• <-9, 5>
• <-9, 11>
• <-9, -11>
• <9, -5>

A motorboat, which has a speed of 5 meters per second in still water, is headed east as it crosses a river flowing south at 3.3 meters per second. What is the magnitude of the boat’s resultant velocity with respect to the starting point?

• 3.3 m/s
• 5.0 m/s
• 6.0 m/s
• 8.3 m/s

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

• 252 m/s
• 222 m/s
• 435 m/s
• 125 m/s