Question: Parametric form for the straight line

Check that r0 = (0, 4/3, - 5/3) is a point on the intersection of the planes  3x + y - z = 3,   x + 2y + 4z = - 4.

Hence find a parametric form for the straight line defined by intersection of these planes.

Hint: use the fact that the line must pass through r0 and be perpendicular to the normal of each plane.

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