Short Answer Type
If 
 are distinct non-zero vectors represented by directed lines from the origin to the points A, B, C and D respectively and if 
, then prove that ABCD is a parallelogram.
.We have
         
                 ...(1)
      
                ...(2)
      
                 ...(3)
Adding (1), (2), (3), we get,
            
      
Long Answer TypeShort Answer TypeIf A and B are two points in space and if they become respectively A', B' on a translation, show that 
 is the sum of 
 show that ABQC is a || gm and Q. therefore a fixed point.
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 are collinear, where 
 are three non-coplanar vectors. 
 are collinear, where 
 are three non-coplanar vectors.
