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Mathematics 15 Online
OpenStudy (haleyelizabeth2017):

@Luigi0210

OpenStudy (haleyelizabeth2017):

I need yhuuu....to explain how to do this XD Like, don't do it for me, just give me an example XD

OpenStudy (haleyelizabeth2017):

http://i.imgur.com/BkTdd6M.jpg

OpenStudy (luigi0210):

Do you know the magnitude of a vector formula?

OpenStudy (haleyelizabeth2017):

uhhh...good question ;) let me look at my notes..

OpenStudy (haleyelizabeth2017):

\[|V|=\sqrt{x^2+y^2}\]right?

OpenStudy (haleyelizabeth2017):

so it will always be positive? or no..

OpenStudy (luigi0210):

Yess, now plug them in :P

OpenStudy (haleyelizabeth2017):

One second XD need new sheet of paper..

OpenStudy (haleyelizabeth2017):

wait...what?

OpenStudy (haleyelizabeth2017):

I'm given 2 ordered pairs.. I'm so confused lol

OpenStudy (haleyelizabeth2017):

or is it the difference between them?

OpenStudy (luigi0210):

Yea, your formula would probably make more sense this way xD \(\Large |PQ|=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \)

OpenStudy (haleyelizabeth2017):

Ohhh, that makes more sense...

OpenStudy (haleyelizabeth2017):

So it's basically the distance formula?

OpenStudy (luigi0210):

If that's what it is, then yea xD I don't know the distance formmula /.\

OpenStudy (haleyelizabeth2017):

Wait, what? The math genius doesn't know the distance formula?!?!? And I got sqrt 2 lol

OpenStudy (luigi0210):

Well \(\sqrt{2} \) isn't an option xD And I'm a math noob, get it right ;)

OpenStudy (haleyelizabeth2017):

lol

OpenStudy (haleyelizabeth2017):

oh, sqrt 2 is 1.41 lol

OpenStudy (haleyelizabeth2017):

so (-1, 1) would be correct

OpenStudy (luigi0210):

You found the ordered pair already? Nicee

OpenStudy (haleyelizabeth2017):

That was easy lol

OpenStudy (haleyelizabeth2017):

The ordered pair that represents it is just the difference between the 2 ordered pairs...Now that I know how to do it, these 2 dimensional ones are easy lol

OpenStudy (luigi0210):

Wait, so to find the pair you do \(b-a \) right?

OpenStudy (haleyelizabeth2017):

Pretty sure, but if you did the distance formula, you would just simplify it down to \[\sqrt{x^2+y^2}\] Which, is easy XD

OpenStudy (haleyelizabeth2017):

As you can tell, I enjoyed the distance formula...it was easy XD

OpenStudy (haleyelizabeth2017):

Hold up on the second one...I'm trying something XD

OpenStudy (haleyelizabeth2017):

The second one is <1, -2, 4>, 4.58 XD That one was easy, too...if it's right

OpenStudy (haleyelizabeth2017):

you just add to the distance formula...\[\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}\]and you'd just simplify it to \[\sqrt{x^2+y^2+z^2}\]I hope I'm doing this correctly lol

OpenStudy (luigi0210):

Psssh, and you said you needed help xD

OpenStudy (haleyelizabeth2017):

I did lol

OpenStudy (luigi0210):

you seem to have done it all already tho ;P

OpenStudy (haleyelizabeth2017):

math is confusing to me until I learn it :P

OpenStudy (haleyelizabeth2017):

I have plenty more xD

OpenStudy (luigi0210):

Bring it ;) But once you get to integrals, then we'll have real fun <3

OpenStudy (haleyelizabeth2017):

lol

OpenStudy (haleyelizabeth2017):

I'll just post the first one...2 dimensional one XD I should be able to figure out the other one if I get this one XD

OpenStudy (haleyelizabeth2017):

http://imgur.com/Kgx56i8

OpenStudy (luigi0210):

\(\Large u= 2 \color{red}{w}-\color{purple}{v} \) \(\large \color{red}{w}=<-2, 4> \) \(\large \color{purple}{v}=<3, 1> \)

OpenStudy (haleyelizabeth2017):

XD

OpenStudy (haleyelizabeth2017):

http://imgur.com/bFfWriz

OpenStudy (luigi0210):

\(\Large <1-(-2), 5-3, -2-6 > \) \(\Large <3i, 2j, -8k > \)

OpenStudy (haleyelizabeth2017):

weird lol

OpenStudy (luigi0210):

Here's my source if you're curious xP http://www.algebra.com/algebra/homework/complex/Complex_Numbers.faq.question.229691.html

OpenStudy (haleyelizabeth2017):

This cross product is confusing, but it is similar to determinants

OpenStudy (haleyelizabeth2017):

so it is... |a2b3-a3b2| |a3b1-a1b3| |a1b2-a2b1| a1=-1 b1=-3 a2=2 b2=-1 a3=4 b3=5 right? lol

OpenStudy (haleyelizabeth2017):

|(2)(5)-(4)(-1)| |(4)(-3)-(-1)(5)| |(-1)(-1)-(2)(-3)| I think LOL

OpenStudy (haleyelizabeth2017):

|10+4| |-12+5| |1+6| Therefore, we get <14, -7, 7>

OpenStudy (luigi0210):

Same thing I got, way to go Haley ;P

OpenStudy (haleyelizabeth2017):

XD yay

OpenStudy (haleyelizabeth2017):

How do I find the direction and angle of a resultant vector?

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