True/False Indicate whether the statement is true or false. 9. A normal vector to a line is perpendicular to that line. 10. The direction vector of a line is an indicator of its slope. 11. There is no scalar equation of a line in three space. 12. A plane written in scalar form cannot be written in vector form. 13. Lines intersect in a point in two-space but do not intersect in three-space. 14. Any three non-collinear points in space will define a unique plane. 15. In three-space there are four possibilities for the intersection of two lines. 16. Skew lines are lines that are not parallel but lie in parallel planes. 17. A line will always intersect with a plane