The lines α − δ x − a + d = α y − a = α + δ z − a − d and β − γ x − b + c = β y − b = β + γ z − b − c are coplanar and the equation of the plane in which they lie is

Question

The lines α − δ x − a + d ​ = α y − a ​ = α + δ z − a − d ​ and β − γ x − b + c ​ = β y − b ​ = β + γ z − b − c ​ are coplanar and the equation of the plane in which they lie is

TestHub · Accepted Answer

The first line passes through ( a − d , a , a + d ) with direction ( α − δ , α , α + δ ) . The second passes through ( b − c , b , b + c ) with direction ( β − γ , β , β + γ ) . Every such point and direction ( p − q , p , p + q ) satisfies x − 2 y + z = 0 . So both lines lie in the plane x − 2 y + z = 0 .

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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