Vectors plus Review

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

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

Tags

CCSS.HSN.VM.A.1

Which are equivalent vectors?

• u and -u

• u and a

• u and v

• u and b

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.HSN.VM.A.2

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS. Hint: get it into the pointy brackets.

• 〈14,-13〉

• 〈-14,13〉

• 〈-40,-21〉

• 〈40,-21〉

Tags

CCSS.HSN.VM.A.2

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

• <21, 2>

• <6, 26>

• <6, 14>

• 23

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

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

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

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

• 2

• 12.81

• 6

• 18

Tags

CCSS.HSN.VM.A.1

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

• √11
• 13
• √-4
• √13

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>