In pset1, part II, problem 2, part b), we're asked, "Given two non-zero vectors u and v, give the formula for the unit vector which bisects the (smaller) angle between u and v.
(Use the notation uˆ for the unit vector in the u - direction.)"

The solution given begins with, "Since u and v have the same length (=1)," which doesn't seem to be information given in the problem. In order to get there, wouldn't we first have to convert u and v to unit vectors?

Question

In pset1, part II, problem 2, part b), we're asked, "Given two non-zero vectors u and v, give the formula for the unit vector which bisects the (smaller) angle between u and v.
(Use the notation uˆ for the unit vector in the u - direction.)"

The solution given begins with, "Since u and v have the same length (=1)," which doesn't seem to be information given in the problem. In order to get there, wouldn't we first have to convert u and v to unit vectors?

anonymous · Answer

It is a typo in the solution; It should be uˆ and vˆ everywhere.