Prove that:
You guys do it. I'm going to bed.
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Calculus 3
Prove that:
You guys do it. I'm going to bed.
"To tell us that every species of thing is endowed with an occult specific quality by which it acts and produces manifest effects, is to tell us nothing; but to derive two or three general principles of motion from phenomena, and afterwards to tell us how the properties and actions of all corporeal things follow from those manifest principles, would be a very great step." -Issac Newton, Optics"You are what you do not do." - Relax.
Communitive Property of Multiplication? I'm just not sure what the lines that resemble absolute value represent
I'm not afraid of dying. I'm afraid I haven't been alive enough.
Nature be damned I'll do it myself then. Friggin lazy kids.
It's basic, just do replacement trickery the old algebra fashion way. Except with vectors (cause that's what they're suppose to be).
So (c × d) = e which makes (a × b) · e.
Now you just exploit the scalar triple product to switch the pairing to:
a · (b × e)
Where in reality, e is our original cross product (c × d) which makes:
a · (b × (c × d))
Where if you know about the properties of vectors we can take care of the innards of the parenthesis like so:
a · ((b · c)d-(b · d)c)
So yeah, that magical step is basically the key to this whole proof because now:
(a · d)(b · c)-(b · d)(a · c)
Which if you do the notation in determinants (think cross multiplication):
|(a · c) (b · c)|
|(a · d) (b · d)|
Originally Posted by Zorg
If you want something done, do it yourself.
"To tell us that every species of thing is endowed with an occult specific quality by which it acts and produces manifest effects, is to tell us nothing; but to derive two or three general principles of motion from phenomena, and afterwards to tell us how the properties and actions of all corporeal things follow from those manifest principles, would be a very great step." -Issac Newton, Optics"You are what you do not do." - Relax.
Last edited by Polo; August 30th, 2011 at 11:01 PM.
“There is no such thing as a human weird, It's just that some understanding requires more people than others” - Robbins Tom.
It's ok, it was the wrong problem anyway. :3
"To tell us that every species of thing is endowed with an occult specific quality by which it acts and produces manifest effects, is to tell us nothing; but to derive two or three general principles of motion from phenomena, and afterwards to tell us how the properties and actions of all corporeal things follow from those manifest principles, would be a very great step." -Issac Newton, Optics"You are what you do not do." - Relax.
DC is like fucking smart or something.
That would be true, if it wasn't for this:
Not to mention Trig and advanced algebra trip me the fuck up. I mean, fuck matrix's and linear systems. Nah brah, I just don't back down from a fight; even if it's just maths.
"To tell us that every species of thing is endowed with an occult specific quality by which it acts and produces manifest effects, is to tell us nothing; but to derive two or three general principles of motion from phenomena, and afterwards to tell us how the properties and actions of all corporeal things follow from those manifest principles, would be a very great step." -Issac Newton, Optics"You are what you do not do." - Relax.
So... is it worth it to take calculus in my senior year? Because I just read this and my eyes bled a little.
She's like the village bicycle:
She reminds me of a time when people still trusted each other.
I think it's more important to have a strong foundation in Algebra and Trig. A lot of what you'll be doing in Calculus 1 (depending on the professor) is basically applying algebra to define and prove Calculus theoroem. Another way of thinking of it is: Algebra is applied arithmetic. Calculus is applied Algebra. You need to have a strong grasp on why 2+2=4 so that you can understand why 2+x=4 is x=2. Like wise, you need to have a strong understanding of algebra so you can understand why taking the limit of an equation to infinity will equal an actual number (using substitution, foil, canceling out whole chunks of variables and etc.)
I believe up to Calc 1 is mandatory for any Bachelors degree. What I'm doing here is Calculus 3. I'd just check on what your major is and if your actually genuinely interested in Maths. You might want to have a strong foundation in algebra/trigonometry first then jump into Calc1 for a better grade or just burn through all your Maths requirements so that you never have to think about it ever again. The worst thing you can do though is take a break between math courses; you'll be amazed on how much information you'll forget in just a few weeks.
"To tell us that every species of thing is endowed with an occult specific quality by which it acts and produces manifest effects, is to tell us nothing; but to derive two or three general principles of motion from phenomena, and afterwards to tell us how the properties and actions of all corporeal things follow from those manifest principles, would be a very great step." -Issac Newton, Optics"You are what you do not do." - Relax.
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