SOLUTION: Find a unit vector in the same direction as a = (-10, 3, -9).

Algebra ->  Vectors -> SOLUTION: Find a unit vector in the same direction as a = (-10, 3, -9).      Log On


   

Question 339911: Find a unit vector in the same direction as a = (-10, 3, -9).
Found 2 solutions by jim_thompson5910, Fombitz:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Find the length (or the magnitude) of the vector and divide each component of the vector by this length.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Divide by the magnitude of a.
abs%28a%29=sqrt%28%28-10%29%5E2%2B3%5E2%2B%28-9%29%5E2%29
abs%28a%29=sqrt%28100%2B9%2B81%29
abs%28a%29=sqrt%28190%29
.
.
.
u=(-10%2Fsqrt%28190%29,3%2Fsqrt%28190%29,-9%2Fsqrt%28190%29)