Question

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

Answer 1

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

Answer 2

hi guys

Answer 3

do share ur views on this plss

Answer 4

i am new here, on this site, looks fun

Answer 5

surely it is !!! nothing lesser than a boon to the students !!! getting live help for free is just awesome

Answer 6

feels like v r a community sharing its knowledge

Answer 7

I am graduating highschool this spring

Answer 8

congrats bro !!!

Answer 9

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

Answer 10

which uni r u in ?

Answer 11

Carnegie Mellon University

Answer 12

what degree wer u in ?

Answer 13

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

Answer 14

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

Answer 15

:)

Answer 16

may i ask ur name ?

Answer 17

ankur, you still need an answer?

Answer 18

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

Answer 19

ah got it !!! cheers !!!

Answer 20

Cool

Answer 21

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

Answer 22

hey one more short question

Answer 23

?

Answer 24

unit vector that is perpendicular to the xz-plane

Answer 25

(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.

Answer 26

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

Answer 27

and it's a unit vector.

Answer 28

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

Answer 29

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

Answer 30

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

Answer 31

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\[\sqrt{x}\]

Answer 32

cheers !!! u r really a lifesaver

Answer 33

np :D