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What is the angle between vec(P) and the...

What is the angle between `vec(P)` and the resultant of `(vec(P)+vec(Q))` and `(vec(P)-vec(Q))` ?

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Given that P=Q=R . If vec(P)+vec(Q)=vec(R) then the angle between vec(P) and vec(R) is theta_(1) . If vec(P)+vec(Q)+vec(R)=vec(0) then the angle between vec(P) and vec(R) is theta_(2) . The relation between theta_(1) and theta_(2) is :-

Given that P=Q=R . If vec(P)+vec(Q)=vec(R) then the angle between vec(P) and vec(R) is theta_(1) . If vec(P)+vec(Q)+vec(R)=vec(0) then the angle between vec(P) and vec(R) is theta_(2) . The relation between theta_(1) and theta_(2) is :-

Given that P=Q=R . If vec(P)+vec(Q)=vec(R) then the angle between vec(P) and vec(R) is theta_(1) . If vec(P)+vec(Q)+vec(R)=vec(0) then the angle between vec(P) and vec(R) is theta_(2) . The relation between theta_(1) and theta_(2) is :-

Three vectors vec(P) , vec(Q) and vec( R) are such that |vec(P)| , |vec(Q )|, |vec(R )| = sqrt(2) |vec(P)| and vec(P) + vec(Q) + vec(R ) = 0 . The angle between vec(P) and vec(Q) , vec(Q) and vec(R ) and vec(P) and vec(R ) are