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Vectors

New kid on the Block

 Joined: 24 May 2010 Post: 3
24 May 2010 11:00:10 IST
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2007
what is a coplanar vector
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Vectors

what is a coplanar vector

Cool goIITian

Joined: 29 Oct 2009
Posts: 53
24 May 2010 11:01:34 IST
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Vectors in the same plane are called co-planar vectors.

Blazing goIITian

Joined: 22 May 2009
Posts: 2467
31 Jan 2011 15:43:37 IST
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hi

Geometric objects lying in a common plane are said to be coplanar. Three noncollinear points determine a plane and so are trivially coplanar. Four points are coplanar iff the volume of the tetrahedron defined by them is 0,

Coplanarity is equivalent to the statement that the pair of lines determined by the four points are not skew, and can be equivalently stated in vector form as

An arbitrary number of points , ..., can be tested for coplanarity by finding the point-plane distances of the points , ..., from the plane determined by and checking if they are all zero. If so, the points are all coplanar.

A set of vectors is coplanar if the nullity of the linear mapping defined by has dimension 1, the matrix rank of (or equivalently, the number of its singular values) is (Abbott 2004).

Parallel lines in three-dimensional space are coplanar, but skew lines are not  !!!!

New kid on the Block

Joined: 14 May 2012
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14 May 2012 11:56:33 IST
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what is a coplanar vector and number of coplanar vector having different magnititudes added up to zero resultant.

Cool goIITian

Joined: 15 Oct 2011
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14 May 2012 12:40:28 IST
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New kid on the Block

Joined: 14 May 2012
Posts: 1
14 May 2012 12:43:42 IST
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what is a coplanar vector

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