12. You cannot do the dot product crossed with a vector (u · v) × w • 13. The magnitude of a vector can be negative. 14. 15. The multiplication of a vector by a negative scalar will result in a vector pointing in the opposite direction. Linear combinations of vectors can be formed by adding scalar multiples of two or more vectors. 16. 17. If two vectors are orthogonal then their dot product equals zero. The cross product of two vectors always results in a vector perpendicular to both original vectors.