Mathematics
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OpenStudy (anonymous):
Vectors on a plane please help!?
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OpenStudy (anonymous):
Let u = <-5, -9>, v = <6, 8>. Find -8u - 2v.
<52, 88>
<-8, 2>
<112, -28>
<28, 56>
Let u = <-7, -2>. Find 8u.
<56, 16>
<-56, 16>
<-56, -16>
<56, -16>
OpenStudy (anonymous):
@ganeshie8
ganeshie8 (ganeshie8):
Hey!
OpenStudy (anonymous):
Ok the page finally loaded
OpenStudy (anonymous):
I'm not sure why it takes so long to load
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OpenStudy (anonymous):
Are you still here?
OpenStudy (anonymous):
The lesson does not explain this well, is there a formula or something I can use?
ganeshie8 (ganeshie8):
Let u = <-7, -2>. Find 8u.
ganeshie8 (ganeshie8):
multiply each component of \(u\) by 8
ganeshie8 (ganeshie8):
u = <-7, -2>
8u = <-7*8, -2*8> = ?
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OpenStudy (anonymous):
-56, -16?
ganeshie8 (ganeshie8):
<-56, -16>
OpenStudy (anonymous):
That's easier than it looks.
ganeshie8 (ganeshie8):
Can you try the first problem ?
ganeshie8 (ganeshie8):
Let u = <-5, -9>, v = <6, 8>. Find -8u - 2v.
-8u = ?
-2v = ?
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OpenStudy (anonymous):
I will
-8u = -5*-8, -9*8 = 40, 78
-8u = 6*-8, 8*-8 = -48, -64
Is this right so far?
OpenStudy (anonymous):
-2v = -5*-2, -9*-2 = 10, 18
-2v = 6*-2, 8*-2 = -12, -16
OpenStudy (anonymous):
I feel like I ended up with too many numbers
ganeshie8 (ganeshie8):
Just find -8u and -2v
ganeshie8 (ganeshie8):
u = <-5, -9>
-8u = ?
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OpenStudy (anonymous):
-5*-8 = 40, -9*-8 =72
ganeshie8 (ganeshie8):
u = <-5, -9>
-8u = <40, 72>
ganeshie8 (ganeshie8):
v = <6, 8>
-2v = ?
OpenStudy (anonymous):
So
<40,72>
And then
6*-2 = -12, 8*-2 = -16
So
<-12,-16>
ganeshie8 (ganeshie8):
Yes, add them both :
-8u - 2v
= -8u + -2v
= <40, 72> + <-12,-16>
= ?
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OpenStudy (anonymous):
40 - (-12) = 52
72 - (-16) = 88
<52,88>
OpenStudy (anonymous):
Oh so <28, 56>
Why add