Vectors' Addition

What is the resultant vector of the two labeled vectors?

• +2 km

• +14 km

• -2 km

• -14 km

What is the magnitude of the resultant vector, r?

• 3

• 4

• 5

• 7

If vector a= (4, -5) and vector b= (-7, 4) Find a+b

• (3, 9)

• (-3, -1)

• (11, 1)

• (-3, -9)

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

If vector a= (4, -5) and vector b= (-7, 4) Find a-b

• (-11, -9)

• (11, 9)

• (11, -9)

• (-3, -1)

Tags

CCSS.HSN-VM.B.4C

If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b

• (29, -22)

• (13, -2)

• (1, 7)

• (29, -2)

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

• Yes, two vectors added together always produce the same resultant vector

• No, because order matters

• Yes, but c will be pointing in the opposite direction

• No, because you can't add two vectors

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

Which vector equation matches the vector operation shown in the diagram below?

• u-v=w

• u-v=-w

• u+v=w

• v+u=-w

Tags

CCSS.HSN-VM.B.4C

Which vector equation matches the vector operation shown in the diagram below?

• u+v=w

• w+u=v

• v+w=-u

• w+u=-v

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Let vector a= (5, -7) and vector b= (-12, 2) Find 2b-4a

• (44, -32)

• (-4, 24)

• (-44, 32)

• (4, -24)

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  

• 40 metres, South
• 50 metres, South
• 50 metres, North
• 40 metres, North