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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
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dk.dkn
04/01/2022 11:29:25
Uh
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Rylo
04/01/2022 11:29:30
dw, I finished my Gcse in y 10
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dk.dkn
04/01/2022 11:29:35
Likes perpendicular lines on graphs
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Rylo
04/01/2022 11:29:53
my school didn’t let me do my maths a level in y11
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Rylo
04/01/2022 11:29:59
I would have if they let me
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dk.dkn
04/01/2022 11:30:33
My teacher basically let me self-learn it her maths classes
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Kev Martin
04/01/2022 11:30:55
https://cdn.discordapp.c…134/demarche.PNG
demarche.PNG
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dk.dkn
04/01/2022 11:30:57
Rather than the gcse stuff because they ended up just doing the same things again and again
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Rylo
04/01/2022 11:31:10
https://cdn.discordapp.c…764/IMG_1351.png
IMG_1351.png
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Kev Martin
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Rylo
04/01/2022 11:31:32
basically that
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373,884,980,977,336,300
Remavas
04/01/2022 11:31:34
you invert the vector and negate one component of it
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c3a78417a1e4471ab73e0a49fcb13e8f
373,884,980,977,336,300
Remavas
04/01/2022 11:31:44
Nice shortcut to get perpendicular vectors in 2d
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:31:46
ye
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:31:49
in 2d
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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:31:53
very specifically
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c3a78417a1e4471ab73e0a49fcb13e8f
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Rylo
04/01/2022 11:31:58
indeed
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dk.dkn
04/01/2022 11:32:15
It’s not too bad in 3d even before you learn the cross product*
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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
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Rylo
04/01/2022 11:32:16
3d and your dot product = 0
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c3a78417a1e4471ab73e0a49fcb13e8f
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Remavas
04/01/2022 11:32:54
You have a whole plane of vectors perpendicular to a single 3d vector
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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:33:34
it’s scalar product unless we’re tryna find the perpendicular vector of 2 distinct non parallel lines
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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
793,888,357,397,954,600
Kev Martin
04/01/2022 11:33:56
I just dont understand the 1/ square root 10
1
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Rylo
04/01/2022 11:34:11
ok, i’ll try explain this
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Rylo
04/01/2022 11:34:20
so that initial vector there
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Rylo
04/01/2022 11:34:31
it travels 1 and 3
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Remavas
04/01/2022 11:34:32
This is called "normalizing" a vector. Basically, you divide a vector by its length to get a unit vector in the same direction.
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c3a78417a1e4471ab73e0a49fcb13e8f
793,888,357,397,954,600
Kev Martin
04/01/2022 11:34:39
Yes
1
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c3a78417a1e4471ab73e0a49fcb13e8f
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Rylo
04/01/2022 11:34:39
right
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Rylo
04/01/2022 11:34:58
so, the total displacement is sqrt(10)
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:35:02
yes?
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Kev Martin
04/01/2022 11:35:12
Yes because its the result of my product
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Kev Martin
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:35:15
yep
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:35:30
but we want our vector to only travel 1
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Kev Martin
04/01/2022 11:35:39
Yep which is 1 unit
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Remavas
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:35:44
yep
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:36:05
so we divide the whole vector by sqrt(10)
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dk.dkn
04/01/2022 11:36:26
Yea that’s what I was talking about, I see this problem as more ‘like’ that than just finding the plane
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c3a78417a1e4471ab73e0a49fcb13e8f
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Rylo
04/01/2022 11:37:19
how were you planning to do vector product with two, let me try it
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dk.dkn
04/01/2022 11:37:48
Wdym?
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Rylo
04/01/2022 11:37:55
|i j 1 -3|
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Rylo
04/01/2022 11:38:13
yeah it works i think
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c3a78417a1e4471ab73e0a49fcb13e8f
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dk.dkn
04/01/2022 11:38:16
Oh 2d not 2 vectors
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dk.dkn
04/01/2022 11:38:23
Was gonna say
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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:38:28
it still works
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c3a78417a1e4471ab73e0a49fcb13e8f
880,503,100,711,010,300
Rylo
04/01/2022 11:38:32
so it’s gucci
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Rylo
04/01/2022 11:38:55
-3i - j
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dk.dkn
04/01/2022 11:39:09
Yep
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dk.dkn
04/01/2022 11:39:19
And just adjust for unit vector obv
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c3a78417a1e4471ab73e0a49fcb13e8f
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Rylo
04/01/2022 11:39:43
oh ye
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Kev Martin
04/01/2022 11:40:21
I flip my sign now i have a new vector which would be (-1 3) Then i do the product thing of my initial vector which will be Square root 10 And to find my unit i divide my ''x'' and ''y'' by the square root x : -1 / sqr 10 = -.31 y : 3 / sqr 10 = .94
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Kev Martin
04/01/2022 11:40:34
That would be one unit right ?
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Remavas
04/01/2022 11:40:43
$\approx$
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c3a78417a1e4471ab73e0a49fcb13e8f
510,789,298,321,096,700
TeXit
04/01/2022 11:40:45
**Remavas**
https://cdn.discordapp.c…980977336321.png
373884980977336321.png
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c3a78417a1e4471ab73e0a49fcb13e8f
793,888,357,397,954,600
Kev Martin
04/01/2022 11:40:53
Ah, yes
1
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dk.dkn
04/01/2022 11:41:31
Yeah but it’s better to leave in exact form
0
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dk.dkn
04/01/2022 11:41:40
Unless the exact form looks outrageous
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Remavas
04/01/2022 11:41:53
,w continued fraction of sqrt(10)
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Kev Martin
04/01/2022 11:42:03
https://cdn.discordapp.c…841030/final.PNG
final.PNG
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TeXit
04/01/2022 11:42:04
Results provided by WolframAlpha
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Kev Martin
04/01/2022 11:42:06
like that
1
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Remavas
04/01/2022 11:42:09
yes
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Kev Martin
04/01/2022 11:42:22
Its not that complicated
1
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dk.dkn
04/01/2022 11:42:30
Yeah
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dk.dkn
04/01/2022 11:42:56
If you think about the gradient of each vector from the origin it makes sense
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dk.dkn
04/01/2022 11:43:33
Like how the normal gradient is the negative reciprocal
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dk.dkn
04/01/2022 11:44:11
It works off that logic, it’s also obvious looking at a circle with the desired length as the radius (unit circle here)
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Kev Martin
04/01/2022 11:44:20
Not sure what would be gradient in French but i guess i figured the big picture of this problem
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dk.dkn
04/01/2022 11:44:49
Um
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Kev Martin
04/01/2022 11:45:00
At first i just didnt knew how to find perpendicular vectors, but if i just have to flip the signs and stuff im fine with that
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dk.dkn
04/01/2022 11:45:07
pente?
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Kev Martin
04/01/2022 11:45:09
YES
1
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Kev Martin
04/01/2022 11:45:20
y2-y1/x2-x1
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Kev Martin
04/01/2022 11:45:24
eeh
1
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884,904,554,037,141,600
dk.dkn
04/01/2022 11:45:24
Yeah
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c3a78417a1e4471ab73e0a49fcb13e8f
793,888,357,397,954,600
Kev Martin
04/01/2022 11:45:32
well something like that
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Kev Martin
04/01/2022 11:46:04
okay alright thanks for helping me with that i really appreciate !
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dk.dkn
04/01/2022 11:46:15
Np man
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null
null
null
1,621
help-10
c3a78417a1e4471ab73e0a49fcb13e8f
793,888,357,397,954,600
Kev Martin
04/01/2022 11:50:06
.close
1
0
null
null
null
null
null
1,621
help-10
c3a78417a1e4471ab73e0a49fcb13e8f
313,241,736,816,361,500
P5
04/01/2022 12:05:14
**Using the PEMDAS rules, and one parathethes, how can you make the following equation** So far, I haven't found the answer, and all I am doing so far is literally guessing by placing the parantheses somewhere. Is there a better way of doing this without having to guess?
https://cdn.discordapp.c…2034/unknown.png
unknown.png
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help-10
c3a78417a1e4471ab73e0a49fcb13e8f
935,206,623,507,525,600
ax3__39
04/01/2022 12:18:30
Is the : a division sign?
0
1
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null
null
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help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:31:49
hello, just need quick help with this one question :D
https://cdn.discordapp.c…8704/unknown.png
unknown.png
1
0
793,888,357,397,954,600
Kev Martin
6735
Kev Martin
false
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
391,270,706,186,420,200
illuminator3
04/01/2022 12:33:13
what have you done so far
0
1
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:34:48
well i started plugging in -1 for the n but then what do i do with the -2 for a1
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
391,270,706,186,420,200
illuminator3
04/01/2022 12:37:33
why -1 for n?
0
1
null
null
null
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null
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help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:40:08
bc its a -1 for a0
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:40:12
idk what to do with it
1
0
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null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:41:32
look at what you're being asked to find
0
1
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:41:43
what is the first box asking for?
0
1
null
null
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help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:42:38
a2 !
1
0
null
null
null
null
null
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help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:42:46
a_2 yes
0
1
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:43:24
and you're given that $$a_n = na_{n-2} - a_{n-1} - 1$$ without overthinking this, which value of $n$ will most likely get you what you want?
0
1
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
510,789,298,321,096,700
TeXit
04/01/2022 12:43:27
**ℝamonov**
https://cdn.discordapp.c…274845577216.png
220517274845577216.png
0
1
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:44:26
wouldnt you just plug in 2 for the n values
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:45:00
yes, exactly
0
1
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null
null
null
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help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:45:36
oh see i thought so! but the values it was giving me for a0 and a1 were throwing me off i thought i had to use those
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:45:39
thanks a lot!
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:45:46
well you will
0
1
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null
null
null
null
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help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:46:08
oh? okay but when
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
220,517,274,845,577,200
ramonov
04/01/2022 12:51:21
what do you have after plugging in n=2
0
1
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:53:03
ooo okay wait i think. i got it thx
1
0
null
null
null
null
null
1,622
help-10
ba5619c5a04746ee8579c897fdf2acc8
632,455,793,576,247,300
malus
04/01/2022 12:53:04
.close
1
0
null
null
null
null
null