If 
are three unit vectors such that 
Show that 
form an orthonormal right handed triad of unit vectors.
Given
,
and
.
Considering the first equation, 
is the cross product of the vectors
and
.
By the definition of the cross product of two vectors, we have
perpendicular to both 
and
.
Similarly, considering the second equation, we have
perpendicular to both 
and
.
Once again, considering the third equation, we have
perpendicular to both 
and
.
From the above three statements, we can observe that the vectors
, 
and
are mutually perpendicular.
It is also said that
,
and
are three unit vectors.
Thus,
,
,
form an orthonormal right handed triad of unit vectors.
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