3 years ago

I need help finding the lond divison for 8÷136

Mathematics

1 answer:

nignag [31]3 years ago

7 0

Let me know if you don’t understand anything. Hope this helped.

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0.144 divided by (-4) = <br><br> -12.684 divided by (-5) =

Alex73 [517]

0.144 ÷ (-4) = -0.036

-12.684 ÷ (-5) = 2.5368

8 0

2 years ago

Let r3 have the euclidean inner product. let u = (-1, 1, 1) and v = (-7, 6, 15). if ||ku + v||= 7, what is k? give the exact ans

amm1812

Ma $k\mathbf u+\mathbf v=k(-1,1,1)+(-7,6,15)=(-k-7,k+6,k+15)$

Recall that for a vector $\mathbf x\in\mathbb R^n$ , we have $\|\mathbf x\|=\sqrt{\mathbf x\cdot\mathbf x}$ . So we have

$\|k\mathbf u+\mathbf v\|=\sqrt{(k\mathbf u+\mathbf v)(k\mathbf u+\mathbf v)}=7$
$\implies k^2\mathbf u\cdot\mathbf u+2k\mathbf u\cdot\mathbf v+\mathbf v\cdot\mathbf v=49$
$\implies3k^2+56k+261=0$
$\implies k=-9,-\dfrac{29}3$