If the straight lines and are coplanar, find the equations of the planes containing them.

We know that the lines are coplanar if


Here,







k = ±2


The equation of plane contains lines is


when k = 2


(x – 1)(4 – 4) – (y + 1)(4 – 10) + (z)(4 – 10) = 0


6y – 6z + 6 = 0


y – z + 1 = 0


The equation of plane contains lines is


When k = – 2


(x – 1)(4 – 4) – (y + 1)(– 4 – 10) + (z)(4 + 10) = 0


14y + 14z + 14 = 0


y + z + 1 = 0


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