SOLUTION: vector v = 2vectori - 5vectorj Find a unit vector in the same direction as vector v A) 2/sqrt29 vector i - 5/sqrt29 vector j B) 5/sqrt29 vector i - 2/sqrt29 vector j C)

Algebra ->  Vectors -> SOLUTION: vector v = 2vectori - 5vectorj Find a unit vector in the same direction as vector v A) 2/sqrt29 vector i - 5/sqrt29 vector j B) 5/sqrt29 vector i - 2/sqrt29 vector j C)       Log On


   

Question 304855: vector v = 2vectori - 5vectorj
Find a unit vector in the same direction as vector v
A) 2/sqrt29 vector i - 5/sqrt29 vector j
B) 5/sqrt29 vector i - 2/sqrt29 vector j
C) sqrt29/2 vector i - sqrt29/5 vector j
D) sqrt29/5 vector i - sqrt29/2 vector j
E) None
Your help is very appreciated.

Answer by themathtutor2009(81) About Me  (Show Source):
You can put this solution on YOUR website!
Unit vector u = v/|v|....|v|=magnitude of v

v=2i-5j ----> a=2, b=-5
|v| = sqrt(2^2+(-5)^2)=sqrt(4+25)=sqrt(29)

u = v/|v| = (2i-5j)/sqrt(29) = 2/sqrt(29)i - 5/sqrt(29)j

Answer is A