How to Find the Unit Vector of a Given Vector?

[huntingrdr]

Homework Statement

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

Homework Equations

none

The Attempt at a Solution

Would I use y2-y1 and x2-x1?

 

[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).

 

[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].

 

[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>

 

[krtica]

That's it!

 

[huntingrdr]

Thanks!