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

Question

1561 views around the world

You can reuse this answer
Creative Commons License

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)#