Vector Operations and Properties

Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b

Tags

CCSS.HSN.VM.A.1

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

Tags

CCSS.HSN.VM.A.1

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

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Given u = <3, 7>, find 2u

• <21, 2>

• <6, 26>

• <6, 14>

• 23

Tags

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.11

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

Find the magnitude of the vector <10, -8>

• 2

• 12.81

• 6

• 18

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

Find the magnitude of the vector <2, -3>.

• √11
• 13
• √-4
• √13

Tags

CCSS.HSN.VM.A.1

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

CCSS.HSN.VM.C.10

Find the direction of the vector <-3, -5>.

• 59.03°
• 239.03°
• 210.96°
• 120.96°

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSN.VM.A.1