Short Answer TypeLet 
 be the two non-zero vectors. Then, prove that 
 are perpendicular if and only if 
(i) Assume that 
 are perpendicular
                          ...(i)
       
                    ...(2)
Again, Â 
               
                     ...(3)
Fom (2) and (3), we get.
     
(ii) Assume thatÂ
        
                    
Long Answer TypeShort Answer Type
 is orthogonal to 
, for any vectors 
 are orthogonal.
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 are perpendicular if 
 are perpendicular, then 
 such that each is perpendicular to sum of the other two, find 
 if two vectors 
 are such that 
 if 
 if 
 are unit vectors, and 
 is the angle between them, find 
 in terms of 
.
