How do you find the unit vector having the same direction as vector $a = 8i-15j$ ?

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Answer 1 · 2016-07-21T18:37:14

$hata=8/17i-15/17j$ .

Given a non-null vector $vecx$ , the unit vector in its direction, denoted by, $hatx$ is given by, $hatx=vecx/||vecx||$

As $||veca||=sqrt((8^2+(-15)^2))=sqrt(289)=17$

Hence, $hata=1/17{8(hati)-15(hatj)}=8/17i-15/17j$ .

How do you find the unit vector having the same direction as vector a = 8i-15ja = 8i-15j?