Mathematics
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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
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OpenStudy (anonymous):
learn your vectors lol
OpenStudy (anonymous):
Meanie
OpenStudy (anonymous):
:D
OpenStudy (anonymous):
:,C
OpenStudy (anonymous):
>:D
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OpenStudy (anonymous):
:<
OpenStudy (anonymous):
Please help? :O
OpenStudy (anonymous):
Thank you :)
OpenStudy (anonymous):
<3
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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> ?
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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 .....
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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?
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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:
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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
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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
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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?
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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>
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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