3-D Geometry - JEE mains level
How do you use the symmetric form for JEE level questions? What is the exact meaning of taking symmetric form?Take the below question an example
https://www.doubtnut.com/qna/649670254
Doubtnut
One vertex of a rectangular parallelopiped is at the origin O and the
One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x, y and z axes are 3, 4 and 5 units respectively. Let P be t
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@Apu
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interesting question lmao
galat server mai aagayi kya
idk dude mai to Dono lines ki equation likh ke shortest distance ka formula laga deta
Isme symmetric form ka kya use
haan toh instead of taking ax +by + c form they have taken symmetric form kyuki DR de rakhi hai question mai
eh
you can write as anything you want tbh
Even if you write it in vector form
Vector form mai bhi DRs common lagega na (normal plane eq)
Instead of that they have derived it to a symmetric form
r = Ro + K(r)
Ro is the fixed point and r is direction ratio
yeah
Ye plane ka question hi nahi hai
a + lambda b lol
why are you doing this
I know that question is for reference,, The doubt is about symmetric form
because mera 11th khatam ho gaya lol
aur humara 12th portions shuru h
a1x + b1y +c = 0 = a2x + b2y + d
??
ye hota hai symmetric form
:thonk:
3D mai alag hai
x-x1/a + y-y1/b + z-z1/c
ye
hn
bleh
haan to
isme convert karna hai?
symmetric form use karne ki baat hai
to
bhai i feel like we're two confused people XD
a b c direction ratios hogaye
hn
x1 y1 z1 fixed point hogaya
hn
this equation is mostly used to calculate distances and find foot of perpendiculars
like
lets say i give you a line x-2/1 + y-2/2 + z-3/4
and tujhe origin se iski perpendicular distance nikalni hai
how would you do it
[ c-a b d] / b X d where abcd are pos vects
hmmm?
formula agar nahi yaad hua to?
Tell me a general approach
foot nikalo by equating to a constant k and then dot product zero with point
whats b and d?
ig ye formula to 2 lines ka hai?
and then distance formulat root xsquare + y square + z square
Yes
correct
bas isiliye use hota hai ye form
distances nikalne keliye
ig ye
OHHHHHHH
damn
ax + by + c is equation on line in 2D bhai
ax + by + cz + d is not a line
its a plane
Confuse mat ho lmao
ax + by + cz + d is a plane with ai + bj + ck as normal vector
i meant cartesian eq only im sorry im just so used to writing that form lmoa
line ki ek vector form hai and ek Cartesian form bas
ye ye r. n =p
baaki or koi hogi bhi to use nahi aaegi
makes sense
a1x + b1y + c1z + d = 0 = a2x + b2y + c2z + e is the equation of line of interestion of two planes
yeah yeah
Itna hi yaad rakho it'll work
hn ig
dar lag rha hai lol
im domb
and ye wale question mein vector form and Cartesian form dono se karskte
both are easily interconvertable
maths is like that lmao
Ion like 11th ki maths
12th is still chill
easier chapters
hn but solution mai unhone symmetric diya tha i just wanted tolearn a new method
symmetric wala easy hai
take this to general ig
or iteachchem sir will get mad ðŸ˜
ye
+solved @Dexter
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