How do you find the unit vector in the direction of the given vector of $w=i-2j$ ?

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Answer 1 · 2017-02-18T09:43:37

$" " hatvecw=sqrt5/5(veci-2vecj)$

$" The unit vector in the direction of " vecw$

$hatvecw=vecw/(|vecw|)$

$vecw=veci-2vecj=>|vecw|=sqrt(1^2+2^2)=sqrt5$

so $" " hatvecw=1/sqrt5(veci-2vecj)$

$" " hatvecw=sqrt5/5(veci-2vecj)$

How do you find the unit vector in the direction of the given vector of w=i-2jw=i-2j?