## anonymous 5 years ago Find a vector that the same direction as −2i + 4j+ 2k but that has length 6.

1. anonymous

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

2. anonymous

hi guys

3. anonymous

do share ur views on this plss

4. anonymous

i am new here, on this site, looks fun

5. anonymous

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

6. anonymous

feels like v r a community sharing its knowledge

7. anonymous

I am graduating highschool this spring

8. anonymous

congrats bro !!!

9. anonymous

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

10. anonymous

which uni r u in ?

11. anonymous

Carnegie Mellon University

12. anonymous

what degree wer u in ?

13. anonymous

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

14. anonymous

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

15. anonymous

:)

16. anonymous

may i ask ur name ?

17. anonymous

ankur, you still need an answer?

18. anonymous

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

19. anonymous

ah got it !!! cheers !!!

20. anonymous

Cool

21. anonymous

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

22. anonymous

hey one more short question

23. anonymous

?

24. anonymous

unit vector that is perpendicular to the xz-plane

25. 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.

26. anonymous

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

27. anonymous

and it's a unit vector.

28. anonymous

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

29. anonymous

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

30. anonymous

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

31. 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$\sqrt{x}$

32. anonymous

cheers !!! u r really a lifesaver

33. anonymous

np :D