Unit 7 Vectors Test Review

1-5

100

Give vector EF with E(-9,3) and F(-4,-6) in component form.

<5,-9>

200

Give the vector, shown as a linear combination, i+j in component form.

<1,1>

300

Give the direction angle of vector HI <-7,2>. Round to the nearest hundredth.

164.05^o

400

Given m=<3,-1> and n=<8,6> find:

4m-7n

<-44,-46>

500

Give vector c=<16,1> as a linear combination in terms of unit vectors i and j.

16i+j

6-10

100

What vector does "i" stand for in the linear combination form of vectors?

<1,0>

200

Give the magnitude for vector JK <4,4> and leave it in simplified radical form.

4sqrt2

300

What is the direction angle for vector AB with A(-1,1) and B(2,2)? Round to the nearest hundredth. 

18.43^o

400

Give the magnitude of vector XY <-7,2>. Keep it in radical form.

sqrt53

500

Give the direction angle for vector NO <4,4>.

45^o

11-15

100

Write the component form with given info; round to the nearest hundredth:

||c||=20, theta=40^o

c=<15.32,12.86>

200

Give the magnitude of vector CD <-16,12>

20

300

Write the component form given and leave in simplified radical form:

||n||=18 , theta=300^o

n=<9,-9sqrt3>

400

Given n=<8,6> and p=<-7,-5> find:

-2p+3n

<38,28>

500

Give the component form of vector XY where X(4,-3) and Y(-3,-1).

<-7,2>

16-20

100

Give the vector in trigonometric form; leave magnitude and direction angle as simplified radicals.

m=<5,-5>

m=5sqrt2<cos315^o,sin315^o>

200

Give the component form of vector LM where L(-1,-2) and M(3,2). 

<4,4>

300

Give the vector in trigonometric form; round the direction angle to the nearest hundredth.

k=4sqrt2i-2j

k=6<cos340.53^o,sin340.53^o>

400

Give the vector in trigonometric form; magnitude as radical, round the direction angle to the nearest hundredth.

T(-3,-4)  and   U(3,8)

t=6sqrt5<cos63.43^o,sin63.43^o>

500

Find a unit vector u in the same direction as <-8,4>.

<(-2sqrt5)/5,(sqrt5)/5>