Q1 of 230 Page 30

Show that the lines and are coplanar. Also, find the equation of the plane containing them.



We know that the lines,


and are coplanar if



And the equation of the plane containing them is



Here,





And



Since , the lines are coplanar Now the equation of the plane containing the given lines is






More from this chapter

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6

Find the distance of the point P (3, 4, 4) from the point, where the line joining the points A(3, – 4, – 5) and B(2, – 3, 1) intersects the plane 2x + y + z = 7?

 7

Find the distance of the point (1, – 5, 9) from the plane x – y + z = 5 measured along the line x = y = z ?

 2

Show that the lines and are coplanar. Also, find the equation of the plane containing them.

 3

Find the equation of the plane containing the line and the point (0, 7, –7) and show that the line also lies in the same plane.