ParthKohli
  • ParthKohli
Are standard basis vectors constant?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
UnkleRhaukus
  • UnkleRhaukus
no, what do you mean
lgbasallote
  • lgbasallote
are vectors even important?
lgbasallote
  • lgbasallote
or better yet...is Math important?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ParthKohli
  • ParthKohli
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?
lgbasallote
  • lgbasallote
im thinking these are \(\hat i, \; \hat j, \; \hat k\) for some reason
ParthKohli
  • ParthKohli
http://tutorial.math.lamar.edu/Classes/CalcII/VectorArithmetic.aspx "Standard Basis Vectors Revisited"
hartnn
  • hartnn
i must be <1,0,0>
lgbasallote
  • lgbasallote
yes you are
ParthKohli
  • ParthKohli
Oh yes,\[\overrightarrow{i} = \langle1,0,0\rangle\]Sorry... messed up
lgbasallote
  • lgbasallote
still thinking that's supposed to be \(\hat i\)
ParthKohli
  • ParthKohli
OK, but is \(\hat{i}\) the same as \(\overrightarrow{i}\)?
lgbasallote
  • lgbasallote
\[\hat i = \; \text{positive x-axis}\]
lgbasallote
  • lgbasallote
no they are not
ParthKohli
  • ParthKohli
OK
hartnn
  • hartnn
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
lgbasallote
  • lgbasallote
\[\vec i \implies \text{vector}\] \[\hat i \implies \text{vector component}\]
ParthKohli
  • ParthKohli
I don't really get any of those, but thanks :P
ParthKohli
  • ParthKohli
Yeah... @hartnn that's right!
lgbasallote
  • lgbasallote
think of it somehow like this: i => x j => y k => z
ParthKohli
  • ParthKohli
Yeah, I do!
UnkleRhaukus
  • UnkleRhaukus
\[\vec\imath=\langle 1,0,0\rangle\]\[\vec\jmath=\langle 0,1,0\rangle\]\[\vec k=\langle 0,0,1\rangle\]
lgbasallote
  • lgbasallote
+ i => positive x-axis -i => negative x-axis + j => positive y-axis - j => negative y-axos k => positive z axis -k => negative z-axis
ParthKohli
  • ParthKohli
That's a nice way to handle it! :)
hartnn
  • hartnn
can u imagine a vector along x-direction and magnitude = 1.......thats i|dw:1347180055694:dw|
lgbasallote
  • lgbasallote
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
lgbasallote
  • lgbasallote
that means i is a vector component for x j is a vector component for y k is a vector component for z
lgbasallote
  • lgbasallote
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 +x-axiis
ParthKohli
  • ParthKohli
lol, thanks... I don't think I can really get it now. I'm not a genius :P
lgbasallote
  • lgbasallote
yes. vectors are hard to grasp
UnkleRhaukus
  • UnkleRhaukus
in polar coordinates the basis vectors change direction
lgbasallote
  • lgbasallote
btw... why are you so keen in learning new things all the time @ParthKohli ?
ParthKohli
  • ParthKohli
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. :|
lgbasallote
  • lgbasallote
none of us is 12 years old.
ParthKohli
  • ParthKohli
I'm 13 lol, and I don't think that age makes a difference :)
UnkleRhaukus
  • UnkleRhaukus
the difference is 1 year
ParthKohli
  • ParthKohli
I mean that age contributes nothing to how much a person knows...
lgbasallote
  • lgbasallote
with age comes wisdom
ParthKohli
  • ParthKohli
Actually, I should be ashamed that it took me 13 long years do this all.
anonymous
  • anonymous
I think your time is better spent on learning mathematics than thinking about all this :-)
hartnn
  • hartnn
lol,so u wanted to know everything from birth!!??
lgbasallote
  • lgbasallote
eww @Ishaan94 learn math
ParthKohli
  • ParthKohli
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.
lgbasallote
  • lgbasallote
right
anonymous
  • anonymous
An average baby doesn't have the necessary IQ to do calculus.
ParthKohli
  • ParthKohli
WE MADE HIS IQ DOWN BY MAKING HIM PLAY WITH TOYS.
anonymous
  • anonymous
No. I don't think so.
lgbasallote
  • lgbasallote
to learn calculus you need to know algebra. to know algebra you need to know arithmetic. to know arithmetic you need to know kinesthetics
anonymous
  • anonymous
In fact a playful childhood might help better in developing one's mind.
ParthKohli
  • ParthKohli
That's what YOU believe.
hartnn
  • hartnn
a baby is supposed to enjoy, not learn math ..... thats why we me him/her to play ....
lgbasallote
  • lgbasallote
if your theory is right @ParthKohli then i can confidently concur that online schools educates people very well
ParthKohli
  • ParthKohli
lol
lgbasallote
  • lgbasallote
online schools miseducate people because they keep jumping from topics to topics; skipping fundamentals
lgbasallote
  • lgbasallote
that is also why you should not disturb the status quo
ParthKohli
  • ParthKohli
I'm... not.... jumping, right?
lgbasallote
  • lgbasallote
you are. you're trying to learn this without the necessary fundamentals
ParthKohli
  • ParthKohli
For example?
hartnn
  • hartnn
i think u are going fast just because u want to answer more questions here..
ParthKohli
  • ParthKohli
Yeah, I am, but I didn't skip algebra... and I didn't skip logarithms... not even trigonometry.
ParthKohli
  • ParthKohli
Thus, not leaving fundamentals.
anonymous
  • anonymous
How much time did you spend on Algebra, Trig?
lgbasallote
  • lgbasallote
however, you skipped topics
ParthKohli
  • ParthKohli
@Ishaan94 a lot
lgbasallote
  • lgbasallote
there's a reason they give 4 years to algebra
anonymous
  • anonymous
I would need a definitive answer.
ParthKohli
  • ParthKohli
But I have managed to do it early... nothing's really wrong!
lgbasallote
  • lgbasallote
it's not because people are slow-learners
anonymous
  • anonymous
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.
lgbasallote
  • lgbasallote
agreed
ParthKohli
  • ParthKohli
g2g :) thanks all!
lgbasallote
  • lgbasallote
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
lgbasallote
  • lgbasallote
i think it's a false cause to study for OpenStudy rather than to study for academics
anonymous
  • anonymous
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. :-)
lgbasallote
  • lgbasallote
he still has other subjects though. math is not everything
anonymous
  • anonymous
I might be wrong person to discuss about getting grades in school. I never really payed much attention to grades.

Looking for something else?

Not the answer you are looking for? Search for more explanations.