First year Math help (1 Viewer)

xuvu6520

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SeDaTeD said:
You have to do the cross product first because if you did the dot product first, you'll be crossing a scalar with a vector, which doesn't work.
ooopse!!!

heheheh.

btw. I dunno whose account is this. This guy was logged in from Mathematics Library.
 

LostAuzzie

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I'm stuck with question 4d.
Find the equation of the line that lies in plane p passes through point C and is perpendicular to the line l
I tried using the fact that the line is perpendicular to l and the normal to p, but that ended up giving me a plane
Anyone got any ideas, no answers just an idea of how to approach it
Any help would be much appreciated
 

melimoo

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LostAuzzie said:
I'm stuck with question 4d.
Find the equation of the line that lies in plane p passes through point C and is perpendicular to the line l
I tried using the fact that the line is perpendicular to l and the normal to p, but that ended up giving me a plane
Anyone got any ideas, no answers just an idea of how to approach it
Any help would be much appreciated
i forget if i could do that one. i'll get back to you tomorrow after my notes have dried. yes, i did spill a whole full glass of water on all my math1002notes. fuck
 

LoneShadow

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LostAuzzie said:
I'm stuck with question 4d.
Post a copy of the assignment. Maths website is down or something. Or it's just me.
 

KeypadSDM

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It's the line in the plane P which is perpendicular to the projection of l onto P. Just work out the projection of l onto P, and then cross product its direction with the normal of P to find the direction of your required line.

Given the intersection coordinates you can find the equation of the line (i.e. you have the gradient (direction) and a point on the line)
 

acmilan

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Is that assignment worth more than 5%? Last year we had like 2, 3 questions tops in an assignment.
 

LostAuzzie

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KeypadSDM said:
It's the line in the plane P which is perpendicular to the projection of l onto P. Just work out the projection of l onto P, and then cross product its direction with the normal of P to find the direction of your required line.

Given the intersection coordinates you can find the equation of the line (i.e. you have the gradient (direction) and a point on the line)
Thankyou for that, very much appreciated

And acmilan, only 2 of the questions are marked
 

melimoo

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ok here are my issues:

1c) find a unit vector perpecndicular to a and b+c
now i can find one perp. to a, but how do i find one perp to both?

2b) i figure i have to use the result from part a), and then use pythag. or sometihing...but how & where & why does a . b come into it?
2c) maybe would make more sense if i had b)??

also 4c) and d)
they make me cry.

any help is welcomed help and possibly repaid in sexual favours. ;)
 

heart

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for 1c) it's just a x (b+c)... and then make the result into a unit vector

2b) Just say |AP|²= AP.AP and then a.b will come in the answer and do the same for |CP|²

c) this does make more sense if you do 2b

And i don't think i did 4c properly =P
 

Libbster

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um yeah, i really should go and start the assignment. lol
 

AntiHyper

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The markers for this assignment must be pretty lazy lol
You should complete all questions, but only two will be marked
i hope they picked the questions i'm doing well.
 

melimoo

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okay. how i love this thread
this is a last resort cause ive tried and really can't do any of the following from the math1001 assignment:
3b
4c
5

http://www.maths.usyd.edu.au/u/UG/JM/MATH1001/r/PDF/ass2.pdf

for 3b, i looked at how the limit behaves as you approach along x-axis, y-axis and the line x=y. and for all i got them to be = 0. essentially i was trying to show that the limit didn't exist, but to my understanding it doesn't exist if all those values aren't equal. so is the limit = 0? or does it exist? wah

4c, trying to sub in x = pi/2 and x= 3pi/2 and show that they are different signs. they both = 0
:/ :confused:

5, no fucking idea

please help meeeeee thankyou <3
 

SeDaTeD

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For 3 b, let it approach the origin along y=kx, for some constant k.

for 4c, use part a, which says the limit as x-> pi/2 is 1, and that f(x) is essentially the same as the equation except for one point and that it is continuous. Sub in 3pi/2 then use intermediate value theorem.

q5, by MVT, you have, for some c, a<c<b, -sin(c) = [cos(b)-cos(a)]/[b-a]. But |-sin(c)| =< 1 for any c. so |[cos(b)-cos(a)]/[b-a]| =< 1. Rearrange to get the result.
 

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