No, because the electric field would not be defined at the intersection point.
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If lines neither intersect nor are parallel, then they must be drawn in 3D space, or a higher dimension.(These lines are called skew lines)
In Euclidean space, never. But they can in non-Euclidean geometries.
Skew line segments are lines in space which never intersect.
Non-intersecting lines in 3-D space may be parallel but need not be.
A point is a single spot in space. A line is the connection between two points. A plane is the space made up between three or more lines. A plane has infinite lines and therefore infinite points.