Finding the second fundamental form of a surface in four dimensions

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How can I find the second fundamental form of an equatorial 2-sphere embedded into a 3-sphere?

Firstly, I have tried to build two normal vectors (I got only one of them) however I have not succeed yet. I wanted to work them out by solving a system of dot products equal to zero.

The original task is as stated: prove that the equatorial 2-sphere in a 3-sphere is a minimal surface.