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Given the following 2-dimensional plane in R^4 written in parametric form: x_1 = 1-s x_2 = s x_3 = 1-t x_4 = t a) find a 2-dimensional plane that intersects it to form a point b) find a 2-dimensional plane that intersects it to form a line c) find a 2-dimensional plane that does not intersect it
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