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UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
no, what do you mean
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
are vectors even important?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
or better yet...is Math important?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
In one of the examples, I noticed that they made a quick substitution for the following vectors:\[\overrightarrow{i} = \langle 0,0,1\rangle\]\[\overrightarrow{j} = \langle 0,1,0\rangle\]\[\overrightarrow k = \langle0,0,1\rangle\]So are vector i, vector j and vector k defined vectors?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
im thinking these are \(\hat i, \; \hat j, \; \hat k\) for some reason
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
http://tutorial.math.lamar.edu/Classes/CalcII/VectorArithmetic.aspx "Standard Basis Vectors Revisited"
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
i must be <1,0,0>
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
yes you are
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Oh yes,\[\overrightarrow{i} = \langle1,0,0\rangle\]Sorry... messed up
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
still thinking that's supposed to be \(\hat i\)
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
OK, but is \(\hat{i}\) the same as \(\overrightarrow{i}\)?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
\[\hat i = \; \text{positive xaxis}\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
no they are not
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
and yes, i is defined as unit vector in x direction j is defined as unit vector in y direction k is defined as unit vector in z direction and denoted by i^ as said by lg
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
\[\vec i \implies \text{vector}\] \[\hat i \implies \text{vector component}\]
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
I don't really get any of those, but thanks :P
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Yeah... @hartnn that's right!
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
think of it somehow like this: i => x j => y k => z
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Yeah, I do!
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\vec\imath=\langle 1,0,0\rangle\]\[\vec\jmath=\langle 0,1,0\rangle\]\[\vec k=\langle 0,0,1\rangle\]
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
+ i => positive xaxis i => negative xaxis + j => positive yaxis  j => negative yaxos k => positive z axis k => negative zaxis
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
That's a nice way to handle it! :)
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
can u imagine a vector along xdirection and magnitude = 1.......thats idw:1347180055694:dw
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
one more thing you should know, the expression for vectors is given as \[\vec A = x\hat i + y\hat j + z\hat k\] or something like that
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
that means i is a vector component for x j is a vector component for y k is a vector component for z
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
so when you have \[\hat i\] that means \[\vec A = 1\hat i + 0\hat j + 0\hat k\] so there's no value for y or z so it just lies on +xaxiis
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
lol, thanks... I don't think I can really get it now. I'm not a genius :P
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
yes. vectors are hard to grasp
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
in polar coordinates the basis vectors change direction
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
btw... why are you so keen in learning new things all the time @ParthKohli ?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Because I can't stand the fact that I can't answer so many questions on the site, and there are people like you who know a lot. :
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
none of us is 12 years old.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
I'm 13 lol, and I don't think that age makes a difference :)
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
the difference is 1 year
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
I mean that age contributes nothing to how much a person knows...
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
with age comes wisdom
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Actually, I should be ashamed that it took me 13 long years do this all.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
I think your time is better spent on learning mathematics than thinking about all this :)
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
lol,so u wanted to know everything from birth!!??
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
eww @Ishaan94 learn math
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
We evolved with certain rules that made no sense. For example: 1) Babies are supposed to play with toys. 2) Adults are supposed to watch movies with stripping scenes. 3) Kids don't know anything. I feel that it is *us* who evolved with these beliefs :) a baby can do calculus as well, but we made the baby play with toys.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
An average baby doesn't have the necessary IQ to do calculus.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
WE MADE HIS IQ DOWN BY MAKING HIM PLAY WITH TOYS.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
No. I don't think so.
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
to learn calculus you need to know algebra. to know algebra you need to know arithmetic. to know arithmetic you need to know kinesthetics
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
In fact a playful childhood might help better in developing one's mind.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
That's what YOU believe.
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
a baby is supposed to enjoy, not learn math ..... thats why we me him/her to play ....
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
if your theory is right @ParthKohli then i can confidently concur that online schools educates people very well
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
online schools miseducate people because they keep jumping from topics to topics; skipping fundamentals
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
that is also why you should not disturb the status quo
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
I'm... not.... jumping, right?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
you are. you're trying to learn this without the necessary fundamentals
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
For example?
 2 years ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
i think u are going fast just because u want to answer more questions here..
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Yeah, I am, but I didn't skip algebra... and I didn't skip logarithms... not even trigonometry.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Thus, not leaving fundamentals.
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
How much time did you spend on Algebra, Trig?
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
however, you skipped topics
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
@Ishaan94 a lot
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
there's a reason they give 4 years to algebra
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
I would need a definitive answer.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
But I have managed to do it early... nothing's really wrong!
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
it's not because people are slowlearners
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
Parth I think you should spend your time more on Algebra and Trig. Calculus isn't tricky. IMO doesn't even asks question from calculus. Get a good book on Algebra and start solving it.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
g2g :) thanks all!
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
honestly @Ishaan94 don't you think kohli could be a valedictorian if only he tried using the time he spends doing calculus to just master algebra? if he has this kind of knowledge on calc, then he must hve spent a lot of time, enough to have made him a valedictorian
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
i think it's a false cause to study for OpenStudy rather than to study for academics
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
hmm I am not against Parth learning Calculus but the thing is Algebra could be a lot trickier than Calculus. So it's really important that one spends significant amount of time on Algebra. As for academics I don't think 8th grade is really complex. He could still be a valedictorian. :)
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
he still has other subjects though. math is not everything
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.0
I might be wrong person to discuss about getting grades in school. I never really payed much attention to grades.
 2 years ago
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