Question

Vectors, please check :)

Answer 1

A few simple questions!
u= <-2,4>
v=5i-3i

1) find 6u-v
= <-17,21>

2) fine a unit vector in the direction of v
this one i'm ont sure about

3) graph u, v, and u-v with initial points of origin.
again, i have an idea but im not sure

Answer 2

look there is a typo
```
v=5i-3i
```

Answer 3

sowire
v= 5i-3j

Answer 4

6*4 - (-3) = ?

Answer 5

27

Answer 6

why those numbers?

Answer 7

u= <-2, 4>
v=5i-3j = <5, -3>

6u - v = ?

Answer 8

<-17,21>

Answer 9

can you show work for how you got 21 ?

Answer 10

6u = <-12,24>
v= <5,-3>

(-12-5), (24-3) = <-17,21>

Answer 11

check again

Answer 12

is it 24-3 or 24-(-3) ?

Answer 13

ooh right rigt.

Answer 14

soo.. <-17,25> ?

Answer 15

lol sorry, *27

Answer 16

yes

Answer 17

fabulous :)

Answer 18

part b then

Answer 19

what do u know about unit vector ?

Answer 20

er, is this where I use cos and sin?

Answer 21

or multiplying by scalar?

Answer 22

Idk :/

Answer 23

It's the angle formed by the vector and x.

Answer 24

unit vector is just a vector whose magnitude is 1 and points in the same direction

Answer 25

what is the magnitude of vector v ?

Answer 26

er
\[\sqrt{25+9}\]

Answer 27

yes what do you need to do to make it 1 ?

Answer 28

What do you mean?

Answer 29

what do you need to do to \(\sqrt{25+9}\) to make it \(1\) ?

Answer 30

dividing by \(\sqrt{25+9}\) produces \(1\), yes ?

Answer 31

yeah dividing it by itself

Answer 32

so the unit vector is simply :
\[\large \dfrac{v}{\|v\|}\]

Answer 33

dividing the original vector by its magnitude gives the unit vector

Answer 34

\[\frac{ 5i -3j}{ \sqrt{34} }\]

Answer 35

?

Answer 36

Yes thats the unit vector in the direction of \(v\)

Answer 37

so that would be the final answer? :)

Answer 38

yes

Answer 39

yay! Part c then ^-^

Answer 40

graph the vectors

Answer 41

To graph the vector u= <-2,4>

first plot the point (-2, 4)
and draw an arrow from (0,0) to (-2,4)

Answer 42

(-7,7) isn't on the graph :P

Answer 43

yeah u-v = <-7, 7> is not on this graph
but i see you get how to draw the vectors

Answer 44

don't forget to put arrow at the final point

Answer 45

okies! thanks :)

Answer 46

np