Lines normal to the surface: The plane formed by the vertices ( 1 , 0 , 0 ) , ( 1 , 1 , 1 ) and ( 1 , 0 , 2 ) is parallel to y z -plane because x - coordinate is same in all points and only y and z vary. As the plane lies in the y z plane, the normal to the plane is parallel to the x -axis. For the lines to be parallel to the x -axis, only x -coordinate should change in the points connecting the line and y and z -coordinates of the points of the line have to remain same. The lines which are parallel to x -axis are: The line segment from ( 1 , 1 , 1 ) to ( 2 , 1 , 1 ) . The line segment from ( 1 , 0 , 2 ) to ( 0 , 0 , 2 ) . Hence, the correct answers are option “ b ” and “ c ”.

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Chapter 10, Problem 17CRP

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Lines normal to the surface:

The plane formed by the vertices (1,0,0), (1,1,1) and (1,0,2) is parallel to yz-plane because x- coordinate is same in all points and only y and z vary. As the plane lies in the yz plane, the normal to the plane is parallel to the x-axis.

For the lines to be parallel to the x-axis, only x-coordinate should change in the points connecting the line and y and z-coordinates of the points of the line have to remain same.

The lines which are parallel to x-axis are:

The line segment from (1,1,1) to (2,1,1).

The line segment from (1,0,2) to (0,0,2).

Hence, the correct answers are option “b” and “c”.

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