Given the points A(3,-1,1), B(2,3,4) and C(4,1,1). (a) Find a unit vector that is simultanously orthogonal to both AB' and AC (b) Find an equation of the plane passing through A, B and C. (c) Find the line of intersection of the plane from part b) and the XZ-plane.

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A: topic - Rhombus and linear equations

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