Vectors: Magnitude and Direction

Scalar multiplication is:

• multiplying two numbers from a scale

• when our classroom elf, Scalar, uses magic to create a twin

• multiplying a number against a vector to change its magnitude

• the solution when multiplying two vectors

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.11

Find the magnitude.

• 0

• 5

• -5

• 4

Tags

CCSS.HSN.VM.A.1

Find the magnitude.

• 5

• 3

• 25

• -4

Tags

CCSS.HSN.VM.A.1

Find the magnitude.

• -10

• -8

• 6

• 10

Tags

CCSS.HSN.VM.A.1

Find the magnitude and the direction of this vector.

• magnitude: 4

  direction: 36.87 degrees East of North

• magnitude: 5

  direction: 36.87 degrees North of East

• magnitude: 3

  direction: 53.13 degrees East of North

• magnitude: 5

  direction: 53.13 degrees North of East

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

Component Form

• <-3, -7>

• <3, -7>

• <-3, 7>

• <7, 3>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Write in component form and find the magnitude.

• <0, 4> magnitude 4
  

• <8, 2> magnitude $2\sqrt{17}$

• <8, 2> magnitude 8

• <0, 4> magnitude 8.25

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Find the magnitude and direction for  $<-18,\ 5>$  

• magnitude: 18.68
  direction:  $15.52\degree$  north of west

• magnitude: 18.68
  direction:  $74.48\degree$  north of west

• magnitude:  $\sqrt{349}$  
  direction:  $15.52\degree$  south of west

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Find the resultant vector. What is the direction of the resultant vector?

• <5, 3> 30.96 degrees

• <1, 7> 81.86 degrees

• <7, 1> 8.13 degrees

• <3, 5> 59.04 degrees

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10

Find the resultant vector.

• <9, 15>

• <7, 17>

• <15, 9>

• <11, 13>

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.4

CCSS.HSN.VM.C.10