Directionless?!? - 100 Follower's Problem!

Geometry Level 3

A line, in 3D space, makes acute angles α , β , γ \alpha,\beta,\gamma with x , y , z x,y,z axes respectively in the positive direction, and has direction cosines l , m , n l,m,n .

If the maximum value of l m + m n + n l lm+mn+nl is p p , find p 2 p^2 .

This is an original problem and resides in the set My Creations .

4 8 1 2

Skanda Prasad by Skanda Prasad , 20, India

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