Basic Vectors

Vector Addition

100

Add <3,2> and <1,2>

<4,4>

200

Add <-2,3> and <4,-5>

<2,-2>

300

Add vector v and vector u when 

v=<-3,2> and u=<4,-1>

<1,1>

400

Add vector v and vector u when 

v=<-10,8> and u=<-9,-7>

<-19,1>

500

Add vector v and vector u when 

v=<-56,-87> and u=<23,25>

<-33,-62>

Vector Subtraction

100

Subtract <5, 3> and <2, 1>

<3, 2>

200

Subtract <-2,-3> and <5,6>

<-7,-9>

300

Subtract vector v and vector u when 

v=<-3,2> and u=<4,-1>

<-7,3>

400

Subtract vector v and vector u when 

v=<-10,8> and u=<-9,-7>

<-1,15>

500

Subtract vector v and vector u when 

v=<-56,-87> and u=<23,25>

<-79,-112>

Scalar Multiplication

100

Find 3 times <2, 3>

<6,9>

200

Find -2 times <4, 5>

<-8,-10>

300

For v =<7, 8>, find 5v

<35, 40>

400

For v =<-12, -30>, find -3v

<36,90>

500

For v =<-52, -76>, find 1/2v

<-26,-38>

Magnitude

100

Find the magnitude of v=<3,4>.

||v||=5

200

Find the magnitude of v=<-5,12>.

||v||=13

300

Find the magnitude of v=<7,-5>.

||v||=√(74)

400

Find the magnitude of v=<-6,12>.

||v||=6√5

500

Find the magnitude of v=<14,-24>.

||v||=2√(193)

Dot Product

100

Find the dot product of <2,3> and <1,4>.

14

200

Find the dot product of <-2, 4> and <1, -5>

-22

300

Find v • u

v=<-3,2> and u=<4,1>

-10

400

Find v • u

v=<7,-6> and u=<8,-5>

86

500

Find v • u

v=<1/2, 5> and u=<8, 9>

49