Find a vector that the same direction as −2i + 4j+ 2k but that has length 6.

- anonymous

Find a vector that the same direction as −2i + 4j+ 2k but that has length 6.

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- chestercat

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- anonymous

desperately waiting for ur reply...so fed up with this problem right now !!! help

- anonymous

hi guys

- anonymous

do share ur views on this plss

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## More answers

- anonymous

i am new here, on this site, looks fun

- anonymous

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- anonymous

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- anonymous

I am graduating highschool this spring

- anonymous

congrats bro !!!

- anonymous

the only bad thing is that me and my boyfriend are going to different universities :(

- anonymous

which uni r u in ?

- anonymous

Carnegie Mellon University

- anonymous

what degree wer u in ?

- anonymous

Computer Science, I know this sounds strange because I am a girl, but I LOVE computer science and programming

- anonymous

thats good.....computers r not just monopoly of boyzzz

- anonymous

:)

- anonymous

may i ask ur name ?

- anonymous

ankur, you still need an answer?

- anonymous

You just need to find the unit vector of u and multiply it by 6

- anonymous

ah got it !!! cheers !!!

- anonymous

Cool

- nikvist

\[|-2i+4j+2k|=\sqrt{(-2)^2+4^2+2^2}=2\sqrt{6}\]
\[\vec{a}=\alpha(-2i+4j+2k)\quad,\quad\alpha=\frac{6}{2\sqrt{6}}=\frac{\sqrt{6}}{2}\]
\[vec{a}=\frac{\sqrt{6}}{2}(-2i+4j+2k)=-\sqrt{6}i+2\sqrt{6}j+\sqrt{6}k\]

- anonymous

hey one more short question

- anonymous

?

- anonymous

unit vector that is perpendicular to the xz-plane

- anonymous

(1,0,0) lies in x, (0,0,1) lies in z, so (0,1,0) will lie in y which is perpendicular to xz.

- anonymous

@nikwist : could you please tell how do u type square roots like this on screen?

- anonymous

and it's a unit vector.

- anonymous

u r so intelligent !!! no wonder you have so many fans !!! thanx a lot again

- anonymous

np...fan me if you haven't :)

- anonymous

i have...do u have any idea how nikwist wrote his answers like that above?

- anonymous

Yes, go into equation editor below, and there's a set of boxes to the right you can use. You can also type,
sqrt{x}
directly into the equation line to get\[\sqrt{x}\]

- anonymous

cheers !!! u r really a lifesaver

- anonymous

np :D

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