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Find a plane containing the point (7,7,1) and the line (x(t)=7-3, y(t)=-8+3t and orthogonal to the plane 7x+7y+z=-1, z(t)=-6+3t

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Find a plane containing the point (7,7,1) and the line (x(t)=7-3, y(t)=-8+3t and orthogonal to the plane 7x+7y+z=-1, z(t)=-6+3t

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