math;)

posted by girly girl

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]i-2[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?

  1. Steve

    |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' ...

  2. Catneces

    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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