Unit vectors?

Find the unit vecctor in the same direction as (8,15)?





Also help describe what a unit vector is.





A.(8/17,15/17)


B.(9,2)


C.(25,32)

Unit vectors?
A unit vector,v, is just a normalized vector such that it is orthonormal, ie ||v|| = 1.





First find ||v||, euclidean norm of v.





sqrt(8^2 + 15^2) = 17





Then divide each component by ||v||, v / ||v||





Therefore, (8/17,15/17), which corresponds to (A).
Reply:the answer is A. A unit vector has a magnitude of 1. The unit vector going in the opposite direction is (-8/17, -15/17)