Q. 183.7( 3 Votes )

If are three mutually perpendicular vectors of equal magnitude, prove that is equally inclined with vectors and . Also, find the angle.

Answer :

If are three mutually perpendicular vectors of equal magnitude

To Find: Find the angle.


Explanation: Here, have equal magnitude, then



Since, are mutually perpendicular , then



Now, Find






Similarly for






Similarly for






Since magnitude are equals then



Therefore,


α=β=γ


Now. The angles are





Hence, Proved


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