How do you find the unit vector for the following vector that connects (2,-5) and (0,3)?

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Answer 1 · 2017-08-28T11:44:48

$hat(AB) = (hati-4hatj)/sqrt(17)$

$vecA = 2hati-5hatj$
$vecB = 3hatj$

Displacement vector $vec(AB) = vecA - vec B$

$vec(AB) = 2hati-5hatj-3hatj$

$vec(AB) = 2hati-8hatj$

$vec(AB) = |vec(AB)|*hat(AB)$

$hat(AB) = vec(AB)/|vec(AB)|$

$hat(AB) = (2hati-8hatj)/sqrt(68)$

$hat(AB) = (hati-4hatj)/sqrt(17)$