Vectors Review

Find the angle between the two vectors:

• -0.789
• 142.1
• 100
• 0.789

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSG.SRT.D.11

Find the dot product of the given vectors:

• 92
• 0
• -92
• none of the above

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

CCSS.HSN.VM.A.3

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

• 〈14,-13〉
• 〈-14,13〉
• 〈-40,-21〉
• 〈40,-21〉

Tags

CCSS.HSN.VM.A.2

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

• <21, 2>
• <-19, -13>
• <-15, 3>
• 23

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

CCSS.HSN.VM.B.4

Find the magnitude of the vector <-5, 12>

• 13
• 10.91
• 7
• 17

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

How do you know if two vectors are orthogonal?

• Their sum is 0.
• The dot product is 1.
• The angle between them is 0°.
• The dot product is 0.

Tags

CCSS.HSN.VM.A.1

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

• 〈-10,3〉
• 〈-6,3〉
• 〈10,11〉
• 〈-6,-3〉

Tags

CCSS.HSN.VM.A.2

If w = <2, -5> and y = <2, 0>, find 2w + y

• <-10, 2>

• <4, -5>

• <-6, 10>

• <6, -10>

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 direction angle for the vector <5, -2>

• 338.20°
• 21.80°
• 291.80°
• 68.2°

Tags

CCSS.HSN.VM.A.1