Given the two vectors a = 2, 3, -4)T and b = [1, -2, O] answer the following questions. (a) (10 points) What is the dot product between the vectors, a . b? (b) (10 points) What is the cross product between the vectors, a x b? (c) (10 points) What are the unit vectors corresponding to a and b? (d) (10 points) What is the angle ( between the vectors a and b? (e) (10 points) What is the component of vector a in the direction of vector b