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ParthKohli
 2 years ago
Are standard basis vectors constant?
ParthKohli
 2 years ago
Are standard basis vectors constant?

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

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

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

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0In 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?

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

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

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

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

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

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

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.2and 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

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

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

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

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

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

lgbasallote
 2 years ago
Best 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

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

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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.2one 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

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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.2so 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

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

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

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

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

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Because 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. :

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

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

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

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

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

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

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

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

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

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0We 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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Ishaan94
 2 years ago
Best ResponseYou've already chosen the best response.0Parth 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.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.2honestly @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

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

Ishaan94
 2 years ago
Best ResponseYou've already chosen the best response.0hmm 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. :)

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

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