Communication True or False: 11. A normal vector to a line is perpendicular to that line. 12. Lines intersect in a point in two-space but do not intersect in three-space. 13. In three-space there are four possibilities for the intersection of two lines. 14. There is no scalar equation of a line in three space. 15. Any three non-collinear points in space will define a unique plane. 16. Two planes are parallel if their normals are perpendicular. 17. The direction vector of a line is an indicator of its slope. 18. A plane written in scalar form cannot be written in vector form. 19. Skew lines are lines that are not parallel but lie in parallel planes. 20. A line will always intersect with a plane. 21. The planes will always intersect at a point if their normals are not collinear. 22. If the dot product of the direction vector of a line and the normal of a plane is not equal to zero, then the intersections of the line and the plane is a point.