In three-dimensional space, if each of the two lines \(L_1\) and \(L_2\) is perpendicular to line \(L_3,\) which of the

In three-dimensional space, if each of the two lines \(L_1\) and \(L_2\) is perpendicular to line \(L_3,\) which of the following must be true?

I \(L_1\) is parallel to \(L_2.\)
II \(L_1\) is perpendicular to \(L_2.\)
III \(L_1\) and \(L_2\) lie on the same plane.

A. I only
B. I and II
C. II and III
D. III only
E. none of the above

[spoiler]OA=E[/spoiler]

Source: Veritas Prep