How do I find the unit vector for v=<2,−5,6>

jelentetvq

jelentetvq

Answered

2022-01-24

How do I find the unit vector for v=<2,5,6>

Answer & Explanation

chaloideq1

chaloideq1

Expert

2022-01-25Added 11 answers

A unit vector just means a vector whose length equals 1 unit. We want a unit vector u in the v -direction. We will use u=v|v|.
Note: Any vector parallel to v can be written as c v with real c; if c>0 this goes in the same direction as v.
The length |v| of a vector v=<x,y,z> is
|v|=x2+y2+z2, and so
|<2,5,6>|=22+(5)2+62
=4+25+36=65
we can divide v by 65 to get
u=<265,565,665>

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