Precalculus Application of Vectors

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

• √11
• 13
• √-4
• √13

Find the dot product of <1, -2> and <3, 2>.

• 1
• <3, -4>
• <4, 0>
• -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〉

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〉

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

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

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

• <21, 2>
• <-11, 26>
• <8, 3>
• 23

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

• 2
• 12.81
• 6
• 18

Find the magnitude of the vector <5, 5>

• 0
• 10
• 25
• 7.07

Write in component form.

• <0, 4>

• <8, 2>

• <2, 8>

• <0, 2>

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6
• 8.2
• 10
• 10.4