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Mathematics 20 Online
OpenStudy (anonymous):

Find the vector z, given u=‹-1, 3, 2›, v=‹1, -2, -2›, and w=‹5, 0, -5›. Use a graphing utility to verify your work. z = -7u+v - 1/5 w

OpenStudy (anonymous):

learn your vectors lol

OpenStudy (anonymous):

Meanie

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

:,C

OpenStudy (anonymous):

>:D

OpenStudy (anonymous):

:<

OpenStudy (anonymous):

Please help? :O

OpenStudy (anonymous):

( http://www.youtube.com/watch?v=fVbqJJZP_rQ) this should give you everything you need to know about them sweatheart.

OpenStudy (anonymous):

Thank you :)

OpenStudy (anonymous):

<3

OpenStudy (anonymous):

How do you work with three? I know I have to distribute the values in fornt of the vectors, but how do I find z?

OpenStudy (anonymous):

*front

OpenStudy (amistre64):

scale each vector out; then add them up by like components

OpenStudy (anonymous):

Okay :D Thank you!

OpenStudy (anonymous):

So, it will be like this: <-1+7+1, 3-21 + 0, 2-14 -1> ?

OpenStudy (amistre64):

z = -7u+v - 1/5 w -7‹-1, 3, 2› +‹1, -2, -2› -‹5, 0, -5›/5 -------------- ‹ 7, -21, -14› ‹ 1, -2, -2› ‹-1, 0, 1› -------------- z =

OpenStudy (amistre64):

i tend to like to line things vertically so i can see what im doing

OpenStudy (anonymous):

Go amistre64!

OpenStudy (anonymous):

z = < 7, -18, -11> ?

OpenStudy (amistre64):

watch your signs .....

OpenStudy (amistre64):

youve got a few signs backwards, other than that, it the right concept

OpenStudy (anonymous):

? Which ones?

OpenStudy (amistre64):

‹ 7, -21, -14› ‹ 1, -2, -2› ‹-1, 0, 1› -------------- z = <7,-23,-15>

OpenStudy (anonymous):

I thought the 7 in front of the vect was -7 ?

OpenStudy (anonymous):

Oh, am I supposed to mult. by a - 1/5 too?

OpenStudy (amistre64):

of course

OpenStudy (anonymous):

;D

OpenStudy (anonymous):

Okay, I see

OpenStudy (amistre64):

<-1+7+1, 3-21 + 0, 2-14 -1> ^ ^ bad bad

OpenStudy (anonymous):

Those were my errors? O:

OpenStudy (amistre64):

some of them, its hard for me to read things horizontal; its mmuch nicer when we stack them

OpenStudy (amistre64):

remember when you learned addition how they stacked terms up?

OpenStudy (amistre64):

5 + 3 --- 8

OpenStudy (anonymous):

of course silly xD

OpenStudy (amistre64):

good

OpenStudy (anonymous):

okay: - 7< -1, 3, 2 > + -1/5< 1, -2, -2 ----------------------

OpenStudy (amistre64):

try again; its a +1 in front of that one, not a -1/5

OpenStudy (amistre64):

- 7< -1, 3, 2 > +1< 1, -2, -2> --------------

OpenStudy (anonymous):

I thought 1/5 was negative, and this was an addition equation?

OpenStudy (amistre64):

-1/5w is in the eq

OpenStudy (anonymous):

Ohhh I see. So what do you do with the w?

OpenStudy (amistre64):

addition is a misnomer; we are combining things ...

OpenStudy (amistre64):

well, we can combine it in now, or do these 2 then combine it afterwards

OpenStudy (anonymous):

okay

OpenStudy (amistre64):

- 7< -1, 3, 2 > +1< 1, -2, -2> -------------- < 7,-21,-14 > < 1, -2, -2 > -------------- <8,-23,-16> ; right?

OpenStudy (anonymous):

Yes. Yay :D

OpenStudy (anonymous):

and now you add the < 1, 0, -1>

OpenStudy (amistre64):

< 8,-23,-16> -1/5 < 5, 0 , -5> ------------------- < 8,-23,-16> -1 < 1, 0 , -1> ------------------- < 8,-23,-16> <-1, 0 , 1> ------------------- <7,-23,-15>; right?

OpenStudy (anonymous):

Yes :D

OpenStudy (anonymous):

And that's the final answer z = <7,-23,-15>

OpenStudy (amistre64):

id say so, since theres nothing else to combine with it :)

OpenStudy (anonymous):

<3 Thank you very much. I really appreciate your help!

OpenStudy (amistre64):

youre welcome, and good luck

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