Vector Products

Find the dot product of the given vectors:

• 92

• 0

• -92

• -120

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

If the dot product of two vectors is equal to zero, then what do we know about the two vectors?

• They are parallel.

• They are perpendicular.

• They are unit vectors.

• They are both zero vectors.

Find the angle between vectors (1,3) and (2,-5).

• 40.2°

• 49.7°

• 139.7°

• 92.6°

Tags

CCSS.HSN.VM.A.1

What is the angle between the vectors given?

• 45.3^o

• 111.7^o

• 21.7^o

• 54.6^o

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.3

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

When finding the projection of vector u = (3,2), onto vector v =(5,-5) , which diagram illustrates this situation?

• 
• 
• 
• 

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.C.11

The vector projection of u=(3,2) onto vector v=(5,-5) is

• (-½,½)

• (½,½)

• (½,-½)

• (-½,-½)

Tags

CCSS.HSN.VM.C.11

CCSS.HSN.VM.B.5

The scalar projection of vector u=(-7,4) onto vector v=(4, -3) is

• 8

• 40

• -8

• -16

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

CCSS.HSN.VM.B.5

if vector u and vector v are parallel then the projection of u on v is

• 0

• -1

• u

• v

Find direction angle α for the vector (-8, 3)

• 159.4°

• 200.6°

• 110.6°

• 249.4°

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSG.SRT.C.8

Find direction angle β for the vector (-8, 3)

• 58.4°

• 60.9°

• 69.4°

• 88.7°

Tags

CCSS.HSN.VM.A.1

CCSS.HSG.SRT.C.8

CCSS.HSF.TF.B.7

CCSS.HSG.SRT.C.6