If the vertices X, Y and Z of a triangle have position vectors x = (2, 2,

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If the vertices X, Y and Z of a triangle have position vectors x = (2, 2, 6), y = (4, 6, 4) and z = (4, 1, 7) relative to the origin O, find

(a) The midpoint of the side XY of the triangle;

(b) The area of the triangle;

(c) The volume of the tetrahedron OXYZ.

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