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

From polygon law,three vector having summation zero should from a closed polygon (triangle). Since the two vector are having same magnitude and the third vector is `sqrt(2)` times that of either of two having equal magnitude, i.e., the triangle should be right -angled triangle. Angle between A and B, `alpha=90^(@)`
Angle between B and C,`beta=135^(@)`
Angle between A and C,`gamma=135^(@)`.