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 Hooray for Calculus!!

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T O P I C    R E V I E W
pcbTIM Posted - 09/05/2002 : 5:03:23 PM
Well.......today I learned that calculus can make something as simple as finding the area of a triangle unbelievably complicated........here's an example (note: this is what I do everyday.....almost). (second note: I actually enjoy this!!)

Find the area of a triangle with verticies P<2,0,-3>, Q<3,1,0>, R<5,2,2>

Now.......normally i would draw a 3D view of this in 2D......but it's way too hard to do here......so we'll just skip this part......

First, we need to find the distances from P to R and Q to R, so we subtract the Px, Py, and Pz components from the respective components of P and Q.

a=<3,2,5>
b=<2,1,2>

From here, we use the cross product of a & b to find the area

Area = 1/2*|a x b|

= 1 |i j k|
. -*|3 2 5|
. 2 |2 1 2|

Then we break down the matrix........

= .5i|2 5| - .5j|3 5| + .5k|3 2|
......|1 2|.......|2 2|........|2 3|

Now we cross multiply the individual matricies so we can get an answer....

= .5i(4-5) - .5j(6-10) + .5k(9-4)

Simplify........

= -.5 + 2 + 2.5

= 4

There.....the area is 4. Any questions?


"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
25   L A T E S T    R E P L I E S    (Newest First)
Silky The Pimp Posted - 10/28/2002 : 11:34:15 AM
Booo calculus. Then again, boo corporate finance too. Anyone else have to take that?
Fluffy Posted - 10/28/2002 : 06:28:36 AM
Give up!!! Calcul is not for US, Calcu is for THEM. Hence, CalcuTHEM not CalculUS
pcbTIM Posted - 10/28/2002 : 05:46:47 AM
Dammit! Studied for at least 5 hours today.......and I'm not making very much headway.
Fluffy Posted - 10/28/2002 : 04:58:58 AM
This topic has come up before:

http://www.timreynolds.com/forum/topic.asp?TOPIC_ID=753

And all I have to say is:
quote:
Posted - 12/10/2001 : 5:11:40 PM
--------------------------------------------------------------------------------

calcuTHEM NOT calculUS
pcbTIM Posted - 10/26/2002 : 10:13:41 PM
Flood control: 284
Patrick: 0
enthuTIMsiast Posted - 10/26/2002 : 10:02:07 PM
Well you're better at guitar than me. But you're right, I wouldn't. I like where I am just fine.

Flood control: 1
Jason: 0
pcbTIM Posted - 10/26/2002 : 9:50:50 PM
No.....you wouldn't want to be in my position......really.
enthuTIMsiast Posted - 10/26/2002 : 9:45:18 PM
Yep, I do not want to be in your position right now. Although if I was, I'm sure I would enjoy playing the guitar like you can. Everything would have it's advantages, I guess.
pcbTIM Posted - 10/26/2002 : 9:34:19 PM
Then you definitely don't want to be in my postition right now. I have a calc test on Thursday. It's primarily on partial derivatives.
enthuTIMsiast Posted - 10/26/2002 : 9:31:14 PM
*shudder* <- at calculus
pcbTIM Posted - 10/26/2002 : 9:22:17 PM
*shudder*
enthuTIMsiast Posted - 10/26/2002 : 2:14:00 PM
Yes, Organic Chemistry is a bitch. I took it and it was hard, and my girl is in it now and it's giving her hell. I don't know what Solid State Chem is, but it sounds even harder to me. Biochemistry (next step up from OChem) was tough too...
pcbTIM Posted - 09/07/2002 : 04:26:30 AM
I've heard Orgamic Chemistry is a real bitch. Thank God I'm not taking that class! But what is Solid State Chemistry? It sounds like a fancy name for Chem 100.

"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
tericee Posted - 09/06/2002 : 10:39:17 PM
MIT was really nice to engineers as far as chemistry was concerned. We had to have one class, but we were allowed to choose from one in the Chemistry Depatment (Intro to Organic Chemistry) or one in the Materials Engineering Department (Introduction to Solid State Chemistry). I chose the latter since it sounded less messy.

Also, no lab!

teri

Did I mention that I finished a marathon?
enthuTIMsiast Posted - 09/06/2002 : 11:18:19 AM
Nope, she turned 20 over half a year ago...so she's closer to 21, which I suppose means that she's a junior. Yeah, that actually sounds right. I'm not sure she just really loves chemistry either, but she's smart, and I suppose that's a good field, so that's what she chose.

____________________________________________________________
I am not the albatross of love, I am the human ellipsis. I am dot dot dot.
pcbTIM Posted - 09/06/2002 : 03:53:50 AM
Did she recently turn 20? If not, she's probably a junior. but I wouldn't be able to stand that. I hate Chemistry. We (engineers) had to take it first semester last (freshman) year, and hour lecture was followed by a 4 hour lab. It was brutal. For one experiment, we had to heat some metal until it melted, which took 1 h 30 min.......and we had nothing to do in between.

"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
enthuTIMsiast Posted - 09/06/2002 : 12:28:19 AM
My girl is a sophomore Chemical Engineer. Not that the two are all that related...but that's what her major it. Wait, maybe she's not a sophomore...she's 20..whatever year that makes her. Sophomore, probably.

____________________________________________________________
I am not the albatross of love, I am the human ellipsis. I am dot dot dot.
pcbTIM Posted - 09/05/2002 : 7:24:19 PM
Mechanical Engineering....and I'm a sophomore.

"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
enthuTIMsiast Posted - 09/05/2002 : 7:05:46 PM
What's your major Patrick? I can't seem to remember. And what year are you?

Peace, and spread the pineapples.

____________________________________________________________
I am not the albatross of love, I am the human ellipsis. I am dot dot dot.
pcbTIM Posted - 09/05/2002 : 6:51:23 PM
Yeah......anyway....back to engineering and physics homework.

"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
enthuTIMsiast Posted - 09/05/2002 : 6:00:36 PM
Oh I see.

Peace, and spread the blueberries.

____________________________________________________________
I am not the albatross of love, I am the human ellipsis. I am dot dot dot.
pcbTIM Posted - 09/05/2002 : 5:21:29 PM
No.......just magic.......with a wand.

(And when I said unbelievably complicated, I was referring to the people on the board whose furthest extent of math is Trigonometry.)

"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
enthuTIMsiast Posted - 09/05/2002 : 5:17:05 PM
Magic fairy dust?

Peace, and spread the carpet.

____________________________________________________________
I am not the albatross of love, I am the human ellipsis. I am dot dot dot.
pcbTIM Posted - 09/05/2002 : 5:14:12 PM
Magic.

"A life spent making mistakes is not only more honorable but more useful than a life spent doing nothing." - George Bernard Shaw
enthuTIMsiast Posted - 09/05/2002 : 5:08:35 PM
Yes, one. How did calculus make that unbelievably complicated?

____________________________________________________________
I am not the albatross of love, I am the human ellipsis. I am dot dot dot.

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