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help-10
8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 15:48:24
that's false. the dot product of direction vector of your "line" and the normal vector is 0, implying that the line lies in your plane
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8bfd22019658445785249d01837ac54d
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Ansh_
01/28/2022 15:48:38
it's possibly just your weird imaginations
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Ansh_
01/28/2022 15:49:31
also, (3,1,5) lies in the plane -4x+3y+14=0 as well... so it just lies in the plane
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Ansh_
01/28/2022 15:49:40
not just parallel to it
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8bfd22019658445785249d01837ac54d
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yk
01/28/2022 16:17:01
the way I calculated this plane eq. `Ax + By + Cz = Ax_0 + By_0 + Cz_0` where I plug x_0, y_0, z_0 as the point from the line equation so I guess that's where my confusion stemmed from
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8bfd22019658445785249d01837ac54d
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Ansh_
01/28/2022 16:17:45
Aaaahhhh
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8bfd22019658445785249d01837ac54d
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yk
01/28/2022 16:17:46
if I just plug the line point in the plane equation, it just seems to me it magically becomes "contained"?
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8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:17:55
Nope
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8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:18:17
the "point" is contained in the plane
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help-10
8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:18:44
but here, the set up was such that
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8bfd22019658445785249d01837ac54d
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Ansh_
01/28/2022 16:19:20
you were given a line whose direction vector was normal to the normal vector of the family of plane Ax + By + Cz = d
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help-10
8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:19:50
hence, just equating those two worked out
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help-10
8bfd22019658445785249d01837ac54d
929,960,101,157,146,600
yk
01/28/2022 16:20:45
ohhh I see, so it was just by chance then
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8bfd22019658445785249d01837ac54d
929,960,101,157,146,600
yk
01/28/2022 16:21:00
if I were given this question that it was not by chance, I wouldn't know how to do it lol
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help-10
8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:21:05
Nope, it was the question maker's intentions
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8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:21:52
Yeah you probably haven't read the equation of a plane in normal form yet, so that's why probably they didn't bother to complicate the problem
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help-10
8bfd22019658445785249d01837ac54d
706,934,233,012,371,600
Ansh_
01/28/2022 16:22:45
For a line to be contained in a plane: 1) You need at least 1 point common in the line and the plane 2) the dot product of the direction vector of the line and the normal vector to the plane must equal 0
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8bfd22019658445785249d01837ac54d
929,960,101,157,146,600
yk
01/28/2022 16:27:14
if you don't mind me asking, normal form is `Ax + By + Cz = D`? isn't that the same as `Ax + By + Cz = Ax_0 + By_0 + Cz_0` and `A(x-x_0) + B(y-y_0) + C(z-z_0) = 0`?
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8bfd22019658445785249d01837ac54d
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Ansh_
01/28/2022 16:27:51
Nope, normal form in terms of normal vector is actually n.p = d
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help-10
8bfd22019658445785249d01837ac54d
929,960,101,157,146,600
yk
01/28/2022 16:30:41
OK! I see!!! Thank you so much for your time 🥰
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8bfd22019658445785249d01837ac54d
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yk
01/28/2022 16:30:48
.close
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19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 10:56:19
Hey hi, i'm having trouble with question C
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JCtheMC
11/05/2021 10:56:21
https://cdn.discordapp.c…7020/unknown.png
unknown.png
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JCtheMC
11/05/2021 10:56:45
i have the answer for this, but i don't understand it.
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19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 10:57:01
https://cdn.discordapp.c…8964/unknown.png
unknown.png
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19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 10:57:25
why can i not just multiply the sum of Xi and Yi?
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 10:58:15
and why is the formula for sample covariance relevant here?
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 11:29:52
@Helpers
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 11:29:55
plz halp
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JCtheMC
11/05/2021 11:38:07
someone? anyone?
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19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:40:00
think about a simpler example of (x1+x2+x3)(y1+y2+y3) - if you multiply those you get a bunch of extra terms
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help-10
19b2bff4d0ea4057b66b8cf991f30118
707,444,936,957,624,300
andrehtan
11/05/2021 11:40:11
instead of just x1y1 + x2y2+x3y3
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 11:44:38
ok yes, that makes sense
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 11:45:05
so the method they are using here is to just rewrite the covariance formula
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:45:20
yup so that you can find the sum of cross prod with the given info
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:45:21
is there another way to do this? since i know xi, yi and what n is
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:45:34
you could calculate it by hand...which is annoying
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:46:08
ooh wait i'd have to do each xi*yi manually
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:46:20
times 20
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:46:26
yeah that's REAL annoying
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help-10
19b2bff4d0ea4057b66b8cf991f30118
707,444,936,957,624,300
andrehtan
11/05/2021 11:46:29
yup XD
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:46:45
so the answer is just a bit of trickery really
1
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:46:49
to save time
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:46:52
and its also sometimes impossible with real data
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:47:15
yeah it's just trying to get you to see the relationship between all the things you could possibly manually calculate
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:47:20
by manipulating formulas
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:47:54
yeah, actually a pretty good question in that regard
1
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help-10
19b2bff4d0ea4057b66b8cf991f30118
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andrehtan
11/05/2021 11:48:07
:catthumbsup:
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19b2bff4d0ea4057b66b8cf991f30118
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JCtheMC
11/05/2021 11:48:20
i was just confused by "cross product"
1
0
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:48:25
because i immediately thought vectors
1
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help-10
19b2bff4d0ea4057b66b8cf991f30118
707,444,936,957,624,300
andrehtan
11/05/2021 11:48:28
yeah same
0
1
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help-10
19b2bff4d0ea4057b66b8cf991f30118
707,444,936,957,624,300
andrehtan
11/05/2021 11:48:29
xD
0
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help-10
19b2bff4d0ea4057b66b8cf991f30118
707,444,936,957,624,300
andrehtan
11/05/2021 11:49:00
and the way we're calculating it ironicaly reminds me of dot product instead of cross product
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:49:39
also that other form of the covariance formula... i think i've seen it before but not sure
1
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:49:53
so it never occurred to me
1
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:50:16
our professor really likes us to rewrite shit, i should've known really
1
0
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help-10
19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 11:50:32
alright i actually understand this now.
1
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help-10
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260,073,142,553,280,500
JCtheMC
11/05/2021 11:50:40
thanks for the help.
1
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andrehtan
11/05/2021 11:52:48
:catthumbsup:
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19b2bff4d0ea4057b66b8cf991f30118
260,073,142,553,280,500
JCtheMC
11/05/2021 12:09:13
.close
1
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:49:33
Trigonometry 65 degrees find the value
1
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eb985957389543a087c57d2aa4ed4525
186,109,587,366,215,680
Omegabet_
01/28/2022 18:49:57
65=65
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♡ nahitspanda ♡
01/28/2022 18:50:02
huh?
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help-10
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♡ nahitspanda ♡
01/28/2022 18:50:03
lol
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help-10
eb985957389543a087c57d2aa4ed4525
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Omegabet_
01/28/2022 18:50:11
You asked what's the value of 65 degrees
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help-10
eb985957389543a087c57d2aa4ed4525
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♡ nahitspanda ♡
01/28/2022 18:50:16
like
1
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help-10
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♡ nahitspanda ♡
01/28/2022 18:50:18
cos 65
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Omegabet_
01/28/2022 18:50:30
use a calculator
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help-10
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351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:50:32
can I share my screen and show you what is going on?
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Omegabet_
01/28/2022 18:50:41
you can take a screenshot, sure.
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♡ nahitspanda ♡
01/28/2022 18:50:46
uhh ok ok
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♡ nahitspanda ♡
01/28/2022 18:50:48
gimme second
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♡ nahitspanda ♡
01/28/2022 18:52:28
hey is there a way I can get help in a voice call
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♡ nahitspanda ♡
01/28/2022 18:52:29
?
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help-10
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Omegabet_
01/28/2022 18:52:45
Sure, won't be from me though
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Omegabet_
01/28/2022 18:52:53
I don't do vcs to help
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Geopchad
01/28/2022 18:52:53
most people won't say yes to that questoin
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eb985957389543a087c57d2aa4ed4525
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Geopchad
01/28/2022 18:52:57
the rules also say that you shouldn't ask that
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♡ nahitspanda ♡
01/28/2022 18:53:02
oh ok
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♡ nahitspanda ♡
01/28/2022 18:53:03
sorry
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:53:12
use windows + shift + s to take a screneshot using snipping tool if ur on windows
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:53:18
then u can just ctrl + v and paste the image here
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:53:21
alright I'll do that now
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:53:49
also do you mean find the exact value of cos(65 degrees)? b/c then you would have to use a half angle formula
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:54:10
or something like that
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:54:25
https://cdn.discordapp.c…1350/unknown.png
unknown.png
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:54:28
I'll send 1 more
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:54:29
give me second
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:54:58
then mosh was right
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:55:05
u just wanna plug that into a calculator and use sig figs
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:55:19
https://cdn.discordapp.c…9118/unknown.png
unknown.png
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:55:32
I'm just wondering how the decimal system works
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help-10
eb985957389543a087c57d2aa4ed4525
186,109,587,366,215,680
Omegabet_
01/28/2022 18:55:41
refer to the table
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help-10
eb985957389543a087c57d2aa4ed4525
186,109,587,366,215,680
Omegabet_
01/28/2022 18:55:46
and it'll tell you
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:55:50
yeh
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:55:58
that's what I'm confused about
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:56:08
well for 68.4 degrees you know that you wouldw ant 3 sig figs
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:56:10
as the table says
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help-10
eb985957389543a087c57d2aa4ed4525
351,013,311,996,887,040
♡ nahitspanda ♡
01/28/2022 18:56:36
so 68.4 degrees I would use the 3rd significant digit?
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help-10
eb985957389543a087c57d2aa4ed4525
328,662,734,008,746,000
Geopchad
01/28/2022 18:56:44
you would use 3 total sig figs
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