Prove that  is orthogonal to , for any vectorsÂ
Prove thatif and only if  are orthogonal.
Let  be the two non-zero vectors. Then, prove that  are perpendicular if and only ifÂ
Prove that two vectors  are perpendicular if    Â
If  are perpendicular, then Â
If  such that each is perpendicular to sum of the other two, findÂ
Find  if two vectors  are such thatÂ
Find  ifÂ
Here             ...(1)Now,                                                 Â
If  are unit vectors, and  is the angle between them, find  in terms of .
Short Answer Type
 be the two non-zero vectors. Then, prove that 
 are perpendicular if and only if 
Long Answer TypeShort Answer Type
 is orthogonal to 
, for any vectors 
 are orthogonal.
 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 
            ...(1)
                   
Switch
 if 
 are unit vectors, and 
 is the angle between them, find 
 in terms of 
.
