Vector Algebra Basics

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

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

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

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

• 13
• 10.91
• 7
• 17

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.A.2

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

• 2
• 12.81
• 6
• 18

Tags

CCSS.HSN.VM.A.1

Find the direction angle for the vector <2, 7>

• 74.05°
• 15.95°
• 195.94°
• 97.28°

Tags

CCSS.HSN.VM.A.1

Find the direction angle for the vector <5, -2>

• 338.20°
• 21.80°
• 291.80°
• 68.2°

Tags

CCSS.HSN.VM.A.1

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the direction angle for the vector <-8, 3>

• 159.44°
• 200.56°
• 110.56°
• 249.44°

Tags

CCSS.HSN.VM.A.1

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

• <-10, 2>

• <4, -5>

• <-6, 10>

• <6, -10>

If y = <2, 0> and z = <-1, -4>, find 3y - 2z

• <5, -8>
• <4, 8>
• <8, 8>
• <-8, -8>

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Given 
v = 〈3,-5〉 and 
w = 〈-2,3〉, what is 2v + 3w?

• 〈6,-10〉
• 〈1,-2〉
• 〈0,-1〉
• none of these

Tags

CCSS.HSN.VM.B.4

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Find the components of a vector v such that 
v + 〈6,-4〉 = 〈10,-3〉

• 〈4,1〉
• 〈1,4〉
• 〈4,-1〉
• none of these

Tags

CCSS.HSN.VM.A.2