1. (a) (4 points) Give an example showing that the cross product is anticommutative, that is, that H x I" = i" x T1". (Hint: unit vectors sure are nice.) Interpret this geometrically. (h) Consider the vectors ii" = {S,D,2}, v\" = {1,3, 3) (a) (1 point) Find il+ 2?. (h) (2 points) Find |Ti| and 51 {c} {2 points) What is the angle between H and Tr". {d} [3 points) Find the projection of Ti onto ?. {e} (5 points) Explain why and how one can use the orthogonal projection to decompose the vector E into a vector parallel to i? and a vector perpendicular to G