Trig Unit 3 pt 2

Vector operations

100

Simplify:

-4 <6, -3>

<-24,12>

200

Find the sum of the vectors: 

U= <2, -1>

V= <3, 5>

<5,4>

300

Simplify:

2<7, -2> + 6<-2, 4>

<2, 20>

400

u = <7, 4>        v= <3,9>

Find:

2u - 3v

<5,-19>

500

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

find 

(u*v)w

<-28,14>

Unit Vectors

100

How do you find a unit vector?

Divide the vector by its magnitude

200

Find the unit vector of 

<2,5>

<2/sqrt29,5/sqrt29>

300

Find the unit vector <6,8>

<6/10,8/10>

400

Find the unit vector <3,-7>

<3/sqrt58,-7/sqrt58>

500

Find the unit vector of <-2,3>

<-2/sqrt13,3/sqrt13>

Find the Slope and Magnitude

100

Slope of <3,4>

4/3

200

Magnitude of <3,4>

5

300

Magnitude of <5+12>

13

400

Find the slope of the vector from (-2,0) to (3,4)

4/5

500

Find the magnitude of the vector from (-2,0) to (3,4)

sqrt41

Vectors

100

How do you know if two vectors are orthogonal?

If the dot product = 0

200

Vector from (3,3) to (0,1)

<-3,-2>

300

Are the following vectors orthogonal? 

a = <1,2> and b = <0,-4>

No

400

Are the following vectors orthogonal?

u = <-18,-3>   v = <-1, 6>

yes

500

Given the initial point (3,4) and the terminal point (7,9), find the vector's component form.

<4,5>

Dot Products

100

Do dot products end in vectors or number values?

number values

200

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

5

300

Find the dot product

u = <4, 6>     v= <3, -2>

0

400

Given the following vectors, calculate their dot product:

a = <9,2> and b = <7,17>

97

500

Given u= <2, -2>, v = <5, 8> 

"Find " u*2v

-12