Core Vectors 8.1A

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

Hint: Use Head Minus Tail Rule

• 〈-10 , 3〉

• 〈-6 , 3〉

• 〈10 , -3〉

• 〈-6 , 11〉

Tags

CCSS.HSN.VM.A.2

Determine the magnitude of the vector 〈7,-2〉

Give an exact answer.

Mathematical Equivalence

OFF

Tags

CCSS.HSN.VM.A.1

Given: A (5, 7) and B (1, 10) find the component form of vector BA

Hint: Use Head Minus Tail Rule

• <-4, 3>

• <4, -3>

• 5

• <6, 17>

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.A.1

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

Find the magnitude of the vector

<-5, 12>

• 13

• √119

• √7

• √17

• 2√31

Tags

CCSS.HSN.VM.A.1

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

Give an exact answer.

Mathematical Equivalence

OFF

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>

Find the magnitude of vector AB if A is (-3, 1) and

B is (3, 9).

Hint: Use Head Minus Tail Rule, then calculate the magnitude

Give an exact answer.

• 10

• 8

Tags

CCSS.HSN.VM.A.1

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

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

Tags

CCSS.HSN.VM.A.1

CCSS.HSN.VM.B.5

CCSS.HSN.VM.C.10

CCSS.HSN.VM.C.11

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1