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Home » Prove that the lines are coplanar. Also find the equation of the plane containing these lines.
Prove that the lines \frac{x - 2}{1} = \frac{{y - 4}}{4} = \frac{{z - 6}}{7}and\frac{{x + 1}}{3} = \frac{{y + 3}}{5} = \frac{{z + 5}}{7} are coplanar. Also find the equation of the plane containing these lines.
CBSE | Class 12 | Exercise 28I | Maths | RS Aggarwal | The Planes
Prove that the lines \frac{x - 2}{1} = \frac{{y - 4}}{4} = \frac{{z - 6}}{7}and\frac{{x + 1}}{3} = \frac{{y + 3}}{5} = \frac{{z + 5}}{7} are coplanar. Also find the equation of the plane containing these lines.

Answer:

 

 

 

 

 

 

 

 

 

 

 

– 7x + 14 + 14y – 56 – 7z + 42 = 0

– 7x + 14y – 7z = 0

Multiply by negative sign,

x – 2y + z = 0

The equation of plane is x – 2y + z = 0

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