SOLUTION: u=3i+2j-k, v=i-3j+2k, find the unit vector in the direction of u-2v.

Algebra ->  Vectors -> SOLUTION: u=3i+2j-k, v=i-3j+2k, find the unit vector in the direction of u-2v.      Log On


   

Question 1049494: u=3i+2j-k, v=i-3j+2k, find the unit vector in the direction of u-2v.
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
u=3i+2j-k, v=i-3j+2k

u-2v = (3i+2j-k)-2(i-3j+2k) =

3i+2j-k-2i+6j-4k =

i+8j-5k

to find a unit vector in the direction of that,
we divide by its magnitude, which is
sqrt%28%281%29%5E2%2B%288%29%5E2%2B%28-5%29%5E2%29%22%22=%22%22sqrt%281%2B64%2B25%29%22%22=%22%22sqrt%2890%29%22%22=%22%22sqrt%289%2A10%29%22%22=%22%223sqrt%2810%29

Answer: 1%2F%283sqrt%2810%29%29(i+8j-5k)

Edwin