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Perpendicular Planes, Line Parallel to a Plane and Normal Unit Vectors

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1) Determine points of intersection with three coordinate axis for the plane whose equation is given as x/a +y/b +z/c = 1 and find coordinates of the normal unit vector for this plane.

2) Proof that the line is parallel to the plane.
Line LA: ..... Plane PA: 4x + 12y + z = -2

3) Write equation of the plane such that LA belongs to it and PA is perpendicular to it.

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