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844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
872,024,354,572,103,700
<><><>
02/23/2022 04:35:11
yh
0
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:36:51
So how would we do that question?
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:37:06
Since the x axis are parallel they are not skewed?
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:37:36
Since if they were skewed then they must not intersect and are not parallel
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:38:34
(2, 1, -2) **.** (1, 4, 3) = 2 + 4 - 6 = 0
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:38:38
Hence they normal :o
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
872,024,354,572,103,700
<><><>
02/23/2022 04:38:42
noo
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
872,024,354,572,103,700
<><><>
02/23/2022 04:38:44
the question is 2b
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
872,024,354,572,103,700
<><><>
02/23/2022 04:38:53
the last question
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
872,024,354,572,103,700
<><><>
02/23/2022 04:38:55
on the page
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:38:59
:O
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:39:17
Aaah skew :o
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:39:51
wait
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:40:10
So if they are parallel then they are automatically cannot be skewed?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:40:46
In the first one, it is parallel in the z axis?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:40:49
(3k + 2, k - 1, 2k + 3) and (3t - 1, -t - 4, 3t + 2)
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:41:32
(3, 1, 2) **.** (3, -1, 3) = 9 + 6 - 1 = 14 not zero
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:41:43
so at least they're not parallel
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:42:00
Now, you need to show that they intersect
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:42:02
👌
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:43:52
So yeah, they intersect and hence are not skew
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:44:28
Wait how did you get k and t values
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:44:37
.
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:44:50
Given two line equations, do you know how to check whether they intersect or not?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:45:25
Okay got it
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:45:31
I thought that -t was a positive t
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:45:39
What happens if it is a positive t instead?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:45:55
wdym?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:46:13
Like if the equation for y makes it so that it becomes t - 4
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:46:26
And then you are trying to find t and k, how would you find it then?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:47:15
which equation and which "t" ?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:47:21
what you talking about?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:48:00
Wait you removed the two different equations?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:48:11
which ones?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
909,734,400,990,785,500
᲼᲼
02/23/2022 04:48:56
He is probably talking about the messages u deleted just now
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:49:50
And I asked something as well.
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
909,734,400,990,785,500
᲼᲼
02/23/2022 04:49:59
Techinally
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
909,734,400,990,785,500
᲼᲼
02/23/2022 04:50:07
same thing
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
909,734,400,990,785,500
᲼᲼
02/23/2022 04:50:12
Yea
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:50:16
https://cdn.discordapp.c…581491/image.png
image.png
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:50:29
Thank you very much for taking the pain to write it down
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:50:41
How do we know when two line equations intersect?
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:51:01
Like in 2d plane, i can see that if they are parallel they wouldn’t intersect
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:51:18
But in the 3d, Is it so that even when they are parallel they still intersect?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:51:32
Do you know where these two equations came from?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:51:41
Yeah
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:51:48
From the x and y equations
1
0
706,934,233,012,371,600
Ansh_
3502
Arya
false
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:51:51
Yes
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:52:08
The x-, y- and z- coordinates to be same for both lines at the point of intersection.
0
1
706,934,233,012,371,600
Ansh_
3502
Arya
false
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:52:54
If the two x-, y- equations don't give a result, or have no solution, then it's sufficient info to conclude that the lines don't intersect
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:53:12
Yeah
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:53:26
If the two x-, y- equations, however, have multiple solutions, then the two are parallel, and you'd have to check with the z- equation
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:53:31
for a particular solution
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:53:50
Multiple solutions?
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:53:51
Depending on that, you can conclude whether both line coincides with each other, or intersect exactly once
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:54:04
If they have multiple solutions wouldn’t that only exist for degrees of 2z/
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 04:54:15
3t + 6 = 3k + 2 and t + 2 = k + 1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:54:26
Yeah
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 04:59:09
@Ansh_ what abojut that?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:01:07
.
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:01:15
.
0
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:01:51
How are these multiple solutions?
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:02:48
(3t + 6, t + 2, t + 2), (3k+2, k + 1, k + 1) coincide
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:03:11
and wtf do you mean by multiple solutions?
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:03:36
when I say multiple solutions, I clarified, very clearly, about me talking about "EQUATIONS"
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:04:12
If two **x-, y- equations have multiple solutions**, then you can't really say anything until you check with the **z- equation**
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
183,668,144,404,037,630
Ann
02/23/2022 05:04:39
what problem are y'all doing rn
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:04:53
So from an earlier example, wouldn’t that be multiple solutions]\
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:12:34
Given equation of two lines, to determine if it's skew. Ex. 2.4, 2 b)
https://cdn.discordapp.c…903F9B15C21B.png
9FFB9DB2-390C-41C6-AA05-903F9B15C21B.png
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
183,668,144,404,037,630
Ann
02/23/2022 05:13:19
ok so parameterize them both, write down a system of 3 equations in 2 unknowns, and establish that it is inconsistent
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
183,668,144,404,037,630
Ann
02/23/2022 05:13:25
what's the big deal exactly
0
1
706,934,233,012,371,600
Ansh_
3502
Arya
false
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
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Ansh_
02/23/2022 05:13:59
OP received the answer is now curious what happens if the equations were: $$\frac{x-2}{3} = y + 1=\frac{z-3}{2} \, \, \text{and} \, \, \frac{x+1}{3} = y - 4 = \frac{z - 2}{3}$$
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
510,789,298,321,096,700
TeXit
02/23/2022 05:14:32
https://cdn.discordapp.c…233012371577.png
706934233012371577.png
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
183,668,144,404,037,630
Ann
02/23/2022 05:14:49
do the same thing
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:15:17
Yeah
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
183,668,144,404,037,630
Ann
02/23/2022 05:15:30
the first line is parameterized as (2 + 3t, -1 + t, 3 + 2t) and the second as (-1 + 3s, -4 + s, 2 + 3s)
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:15:47
✅
1
0
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:22:15
@Ansh_ what did you do after finding t and k values
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:23:25
use the definition of a pair of skew lines
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844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:24:22
If they are skewed then the third one should have the LHS and RHS invalidated
1
0
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844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:24:30
Meaning they cannot equal
1
0
183,668,144,404,037,630
Ann
0413
Ann
false
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:26:05
Yes
0
1
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844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:28:01
But didn’t you say something about if the first two x and y are not equal to each other then the z is not equal
1
0
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844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:28:10
And you should only go to the z only if you have multiple solutions
1
0
null
null
null
null
null
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:28:26
Are we done discussing the original question?
0
1
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null
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:28:33
Yes
1
0
null
null
null
null
null
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:28:39
okay
0
1
null
null
null
null
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844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:29:59
> (2 + 3t, -1 + t, 3 + 2t) and the second as (-1 + 3s, -4 + s, 2 + 3s) > > Here, for example: second equation gives -> t = s - 3 > Plug into the first, you get: -> 3s - 7 = 3s - 1, which is true for no t, s
0
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
706,934,233,012,371,600
Ansh_
02/23/2022 05:30:14
hence, the two lines never intersect
0
1
null
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null
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null
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
475,966,350,322,303,000
Brightness
02/23/2022 05:31:17
Okay so this is using one of the equation to find the intersection using the other one
1
0
706,934,233,012,371,600
Ansh_
3502
Arya
false
844
help-10
bd7bdcc960e54c2e8b24d2bf4b253171
880,503,100,711,010,300
Rylo
02/23/2022 05:57:46
(2i+4j-6k ) . (i+4j+3k) = 2+16-18 = 0 since the normals are perpendicular, so are the planes
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1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
880,503,100,711,010,300
Rylo
02/23/2022 05:58:06
@Brightness
0
1
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
880,503,100,711,010,300
Rylo
02/23/2022 05:58:27
oh, so what is your doubt ?
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1
null
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
880,503,100,711,010,300
Rylo
02/23/2022 05:59:15
AHH
0
1
null
null
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null
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
880,503,100,711,010,300
Rylo
02/23/2022 05:59:38
guess everything is resolved anyways
0
1
null
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null
null
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help-10
bd7bdcc960e54c2e8b24d2bf4b253171
880,503,100,711,010,300
Rylo
02/23/2022 06:05:47
l1 = (2i-j+3k) + a (3i+j+2k) do the same for l2 equate i,j and k to get 3 linear simultaneous eqns solve to get a and b using 2 of the 3 eqns use those values in the third eqn. if they’re equal, they don’t skew. if they’re not equal, they don’t intersect general idea of approach to this problem
0
1
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help-10
9706de13241e42e5a5054daf8d488a15
825,109,348,647,829,600
AlolanChaoverse
02/23/2022 06:55:49
Ok. So I was trying to find out how the formula of lx works for this graph example here. It’s for one of my assignments.
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help-10
9706de13241e42e5a5054daf8d488a15
825,109,348,647,829,600
AlolanChaoverse
02/23/2022 06:55:59
https://cdn.discordapp.c…410/IMG_3796.jpg
IMG_3796.jpg
1
0
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845
help-10
9706de13241e42e5a5054daf8d488a15
825,109,348,647,829,600
AlolanChaoverse
02/23/2022 06:57:20
I’m trying to find out how I got for example .915 from 1.000
1
0
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null
null
845
help-10
9706de13241e42e5a5054daf8d488a15
825,109,348,647,829,600
AlolanChaoverse
02/23/2022 07:09:34
https://cdn.discordapp.c…532/IMG_3798.jpg
IMG_3798.jpg
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