Answer :
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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