SOLUTION: Find a unit vector in the direction of v. V=<5,7>

Algebra ->  Trigonometry-basics -> SOLUTION: Find a unit vector in the direction of v. V=<5,7>      Log On


   

Question 1075218: Find a unit vector in the direction of v.
V=<5,7>
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Divide by the magnitude of v.
abs%28v%29=sqrt%285%5E2%2B7%5E2%29=sqrt%2825%2B49%29=sqrt%2874%29
.
.
v%5Bu%5D=<5%2Fsqrt%2874%29,7%2Fsqrt%2874%29>
.
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v%5Bu%5D=<%285%2F74%29sqrt%2874%29,%287%2F74%29sqrt%2874%29>