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How do you find the unit vector in the same direction as (-5, 3)?

1 Answer

Aug 13, 2017

Given a vector #vecv = (a,b)#; the unit vector is:

#hatv = vecv/|vecv|#

Where #|vecv| = sqrt(a^2+b^2)#

Explanation:

Given: #vecv = (-5,3)#

#hatv = ("("-5,3")")/sqrt((-5)^2+3^2)#

#hatv = ("("-5,3")")/sqrt(34)#

#hatv = (-5/sqrt(34),3/sqrt(34))#

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