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Vectors

Cool goIITian

Joined: 4 Sep 2007
Post: 53
18 Mar 2008 13:56:22 IST
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intecepts
None

if the plane has intercept a, b, c and is at a distance m units frm the point whre the 3 mutually perp axis meet each other.
 
then a-2 + b-2 + c-2 = ?


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shridhar ramachandran's Avatar

Scorching goIITian

Joined: 30 Jan 2008
Posts: 203
18 Mar 2008 14:34:54 IST
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ans : m-2
dheer Bhatia's Avatar

Scorching goIITian

Joined: 15 May 2007
Posts: 293
18 Mar 2008 14:37:11 IST
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eq  of plane will be  x\a+y\b+z\c=1
 
now just use dist  formula   and  square  both sides 
 
rate me if useful
 
cheers!!!
Halo's Avatar

Blazing goIITian

Joined: 18 Apr 2007
Posts: 1537
18 Mar 2008 19:15:29 IST
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suppose the eq of plane is
Ax+By+Cz=D
now aplly the intecept conditions
then apply distance formula

Cool goIITian

Joined: 4 Sep 2007
Posts: 53
18 Mar 2008 22:40:12 IST
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still didn't understand, hash include u right.

HOW? plzzzzzz explain.
Halo's Avatar

Blazing goIITian

Joined: 18 Apr 2007
Posts: 1537
19 Mar 2008 08:53:32 IST
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u will get x intercept when (a,0,0)
Aa+0+0=D
similarly
0+Bb+0=D
0+0+Cc=D
therrefore 1/a=A/D
similarly for others u apply then use distance formula
D=m/root of (A2+B2+C2)




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