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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