Find the unit vector in the direction of u=(3,2). Write your answer as a linear combination of the standard unit vectors i and j.
a. u=3[sqrt(13)/13]i+2[sqrt(13)/13]j
b. u=3[sqrt(5)/5]i+2[sqrt(5)/5]j
c. u=3[sqrt(5)/5]i2[sqrt(5)/5]j
d. u=3[sqrt(13)/13]i+2[sqrt(13)/13]j
I do not understand this. Can someone please explain it to me?
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2 answers

u = √(9+4) = √13
So, divide u by its length to get a unit vector (length=1)
so, (a)
If you've advanced to the point where you're studying vectors, your teacher should stop insisting on rational denominators. I much prefer 1/√13 to the cumbersome √13/13
just sayin' ... 👍
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Steve 
Hey is there any way that we could talk one on one? Im pretty sure were im the same math class as you and want some help pls!! :))
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