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Cool goIITian

Joined:	8 Jan 2011
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8 Mar 2011 08:22:55 IST

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cn 3 vectors nt in a plane gve a zero resultant? Cn 4 vectors do?

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cn 3 vectors nt in a plane gve a zero resultant? Cn 4 vectors do?

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spm.....in luv wid lyf.......

Hot goIITian

Joined: 2 Apr 2009

Posts: 197

11 Mar 2011 00:15:50 IST

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in case of 3 it surely can..........n in case of 4 i thnk it can.......

Sagar Saxena

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Joined: 8 Oct 2008

Posts: 8064

11 Mar 2011 01:06:44 IST

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No. For three vectors they must all lie in the same plane.

let us consider 2 vectors first.for them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line.
for 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero, Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.

And for four vectors not in same plane (two may be in same plane ) cn have zero resultant ..

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