Question

Find the unit vector that has the same direction as the vector v. v = 3i + j

Answer 1

@AkashdeepDeb or @Psymon can you help?? (:

Answer 2

Yep. So just like we did in the last problem, we need the magnitude first. Which means we do m^2 = i^2 + j^2. Once you get the magnitude, divide both i and j by that magnitude. So your final answer looks like this:
\[\frac{ vector (v) }{ ||v|| }\]

Answer 3

Exactly!
Because
Magnitude . Unit vector = Actual vector!
So unit Vector = Actual Vector/Magnitude !! :D

Answer 4

I need to brb, though. So if you got any questions just bug @AkashdeepDeb Ill be back xD

Answer 5

-.-

Answer 6

@ErinWeeks
Did you get it though?

Answer 7

@ErinWeeks ?

Answer 8

?

Answer 9

sorry i was playing call of duty :0 lol not really because i dont get what to plug in

Answer 10

What is the magnitude of the vector?

Answer 11

@ErinWeeks ?

Answer 12

uhm im honestly not sure im looking in my book trying to see

Answer 13

wouldnt it be 3?

Answer 14

It'd be sqrt 10
@Psymon 'd explain :D

Answer 15

Sorry if I wasnt clear before about it. The magnitude is the length of the vector. And that length is found using:
\[(magnitude)^{2} = i ^{2}+j ^{2} \]. Its the same thing as pythagorean theorem, a^2 + b^2 = c^2, its just different letters. So to get magnitude, lets check. i is 3, j is 1
\[m ^{2}=3^{2}+1^{2}\]
\[m ^{2}=9 + 1\]
\[m ^{2}=10 -> m = \sqrt{10}\]

That kind of make sense?

Answer 16

@AkashdeepDeb
I wasnt out to just volunteer you earlier, you were already here and I had to brb xD

Answer 17

Yeah I get it!
But then he/she started playing call of duty or some game. XD

Answer 18

Magnitude of the stray bullet shot into the enemy player?

Answer 19

yea i makes more sense but now thats not the final answer .. & sorrry i was playing the new dlc maps :O

Answer 20

Right, thats just the magnitude. To get a unit vector, we divide i and j by the magnitude.
\[\frac{ i }{ magnitude }+\frac{ j }{ magnitude }\]
\[= \frac{ 3i }{ \sqrt{10} }+\frac{ j }{ \sqrt{10} } \]
And that would be the unit vector we want.

Answer 21

oh okay i see i got it..

Answer 22

mhm ^_^ Glad it makes sense.

Answer 23

it actually makes alot more sense

Answer 24

http://www.indianfunpic.com/wp-content/uploads/2013/07/Give-That-man-a-Medal.jpg

Answer 25

Oh, and theres a way to check and see if its a unit vector, too :3