Statement 1 - The lines 1 x − 2 = 1 y − 3 = 3 z − 4 and − 3 x − 1 = 2 y − 4 = 1 z − 5 are skew lines. Statement 2 - Two non-parallel, non-intersecting lines are skew lines.

Question

Statement 1 - The lines 1 x − 2 ​ = 1 y − 3 ​ = 3 z − 4 ​ and − 3 x − 1 ​ = 2 y − 4 ​ = 1 z − 5 ​ are skew lines. Statement 2 - Two non-parallel, non-intersecting lines are skew lines.

TestHub · Accepted Answer

The determinant with rows (1, -1, -1), (1, 1, 3), (-3, 2, 1) equals 1 ( 1 − 6 ) + 1 ( 1 + 9 ) − 1 ( 2 + 3 ) = 0 , so the lines are coplanar and not skew. Statement 1 is false. Statement 2 is true by definition.

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Options:

Doubts & Discussion