Question

@jim_thompson5910

Answer 1

How do I do this?

Answer 2

what's the component form of the blue vector?

Answer 3

any ideas?

Answer 4

-4,2 right?

Answer 5

use angle brackets to denote a vector

<-4,2>

but yes

Answer 6

how about the red vector?

Answer 7

3, 1

Answer 8

you mixed up the coordinates

Answer 9

<1, 3> sorry

Answer 10

Now we add the vectors. We do so by adding the corresponding components

\[\Large {\color{blue}{\Big<-4,2\Big>}}+{\color{red}{\Big<1,3\Big>}} = \Big<{\color{blue}{-4}}+{\color{red}{1}},{\color{blue}{2}}+{\color{red}{3}}\Big>\]
\[\Large {\color{blue}{\Big<-4,2\Big>}}+{\color{red}{\Big<1,3\Big>}} = \Big<-3,5\Big>\]



The resultant vector is
\[\Large \Big<-3,5\Big>\]


with me so far?

Answer 11

yes.

Answer 12

now we need to find the magnitude of the vector

\[\Large \Big<-3,5\Big>\]
how do we do this? Any ideas?

Answer 13

let me know if you need the formula

Answer 14

Yes I do

Answer 15

Sorry I had to help my aunt zip her wedding dress

Answer 16

ok tell me what the magnitude formula is

you can type it out, describe it in words, or draw it out using the draw feature

Answer 17

no that's the wrong formula

Answer 18

you might be mixing up two ideas? you might have stumbled on the "magnitude of a star" formula?

Answer 19

I am so lost

Answer 20

ok I'll post the formula

Answer 21

thank you :)

Answer 22

if we have a vector <a,b> then the magnitude of that vector is \[\Large m = \sqrt{a^2+b^2}\] does that look familiar?

Answer 23

yes.

Answer 24

ok so in this case, <a,b> = <-3,5>

Answer 25

so
a = -3
b = 5
plug those values into the formula I gave you

Answer 26

3^2 + 5^2

9+25

34

Answer 27

in each step of what you wrote should have a square root over everything, so the final answer is \[\Large \sqrt{34}\]

Answer 28

so sqaure root of 34

Answer 29

correct

Answer 30

okay ill tag you in the next