Given that `vec(A)+vec(B)+vec(C )=vec(0)`. Out of three vectors, two are equal in magnitude and the magnitude of the third vectors is `sqrt(2)` times that of either of the two having equal magnitude. Find the angles between the vectors.

Explanation

To solve the problem, we start with the given equation of the vectors:

\[ \vec{A} + \vec{B} + \vec{C} = \vec{0} \]

This implies:

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