Consider a three points M1,M2 and M3 that are not on the same line.Write the equation of the line L1 passing through the points M1 and M2.

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Consider a three points $M1,M2$ and $M3$ that are not on the same line.Write the equation of the line $L1$ passing through the points $M1$ and $M2$. Write the equation of the plane $α$ passing through the line $L1$ and the point $M3$. Write the equation of the plane $β$ passing through the point $M3$ and perpendicular to the plane $α$. Find the symmetric (canonical) equation of the line $L2$ that is intersection of planes of $α$ and $β$. Determine the coordinates of the point $A$ of intersection of lines $L1$ and $L2$. Draw the corresponding figure.

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