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The way it sounds like you are using "normal" is in reference to unit vectors, those with a magnitude of 1. If this is what you mean then the cross product of 2 unit vectors will only give you a unit vector if they are orthogonal. In fact the cross products magnitude is equal to the area of a parallelogram defined by the two vectors, in the case of orthogonal unit vectors the parallelogram is a square and the result would be a unit vector with magnitude ("area") 1.
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