# LinAlg4.2.3

From Example Problems

If are mutually perpendicular vectors of equal magnitude,show that is equally inclined to

Given that the vectors a,b,c are mutually perpendicular to each other.

Hence

Also given the three of equal magnitude

Now

Hence

Let make angles respectively.

Therefore

Similarly

Therefore implies that

Hence the sum of the three vectors is equally inclined to the three individual vectors.