Given Vector, Find Unit Vector

1. Jan 29, 2010

huntingrdr

1. The problem statement, all variables and given/known data
Given vector v = <3, -4>, find a unit vector u in the direction of vector v. Give your answer for u as
u = <a, b>
and
u = ai + bj

2. Relevant equations

none

3. The attempt at a solution

Would I use y2-y1 and x2-x1?

2. Jan 29, 2010

Mapes

Do you know how to find the length of a vector? If so, use the fact that any vector divided by its length will have a length of 1 (i.e., it will be a unit vector).

3. Jan 29, 2010

krtica

A unit vector is given by a vector divided by its magnitude. To find a vector's magnitude, or length, use v=sqrt[x^2+y+2].

4. Jan 29, 2010

huntingrdr

OK, so I got the magnitude of the vector to be 5. So does that mean the answer would be 3/5 i - 4/5 j and <3/5 , -4/5>

5. Jan 29, 2010

krtica

That's it!

6. Jan 29, 2010

Thanks!!!