Equation of a line in space

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How do we find out the equation of a line when a point is given through which it passes along with the equation of two skew lines that it intersects?

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HINT

  1. Write the equation of the plane which contains the given point $P$ and line 1

  2. Find the intersection point $Q$ between the plane and line 2

  3. Find Line PQ which intersects both line 1 and line 2