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somewhat really well, but kinda sorta maybe like.... sure :)

i and j are unit vectors.... i = <1,0>

if the "slope" of the vectors are equal, they are parallel right?

Yeah, okay.
So if I am given a vector in R^4, I solve for it's length, and then what?

Yeah, totally got that.

<4,7> is parallel to <12,21>

Agreed.

r^4?.... 4d stuff eh..

Yeah. That doesn't really matter though, does it? length is length.

I'm given a solution here, and they just took 1/(length)*(my original vector)

\[distance of R^n = \sqrt{x^2 + y^2 + z^2 + ......n^2}\]

Yep.

not to sure about the answer to that.... its been awhile since I got down and dirty with vectors...

Darn. Thanks though!

youre welcome..wish i could have been more helpful :)

It's strange too, since they are telling me to check whether the vector I got had the length of 1...

all unit vectors are of length "1". I recall that much :)

Maybe that's why.. Haha, thanks. Stay tuned. I'm sure I'll be back soon! ;)

and all vectors can be expressed as a sum of their unit vectors and scalars right?

Sheeeeeeeeesh. They wanted it as a unit vector parallel to the original....

Yeah, as a linear combination. Gottttt it!

Thanks!

yay!!

How do I become your fan? Lol

:D

lol...thanx ;)

Are you savvy with dot products?

sorta savvy; . = xa xb + ya yb right?

Yeah

For this question, I have (xv) . v
And the answer is 2x.

They give me the length of v to be √2

I recall multiplication not being associative with vectors for some odd reason.

Is that just since SQRT(2)*SQRT(2) = 2?

Maybe..

i know this means something lol

Okay... so. That gives me X(V.V)=2X, when ||V||=√2

What's the significance of a vector dotted with itself?

WAIT

lets see :)
<1,2>.<1,2>
1(1) + 2(2) = 2+4 = 2(1+2)

1+2 = 1i + 2j right?

If ||V|| = √2, and ||V||= √(V.V), then (V.V)= (||V||)^2!

Where ||V|| is the length of V.

making sense for you :)

But not for you? :P

little bit, but it aint my question lol.

hahahaha, fair nuff!

if the length is sqrt(2) then yes, twice the length = 2

Nooooo. Twice the length is 2√2. Lol. √2 squared is 2.

thats better :) been staring at math too long

Lol. Bedtime!

I think you need to be my fan now..

We all just want to be loved, don't we? Hahahahaha

what? these aint free ya know ;)

Pfffffft

Just trying to get some street cred, yo.

yeah, pupil and 0 is soooo unbecoming these days :)

;)

I do actually have to head out, library is closing up soon... Ciao :)

Adios amigo!