How would you find the unit vector having the same direction as v=-10i+24j?

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Answer 1 · 2016-11-08T19:55:25

Please see the explanation for steps leading to the unit vector:
#hatv= -10/26hati + 24/26hatj#

Given: #barv = -10hati + 24hatj#

Compute the magnitude:

#|barv| = sqrt((-10)^2 + 24^2)#

#|barv| = sqrt(676)#

#|barv| = 26#

The unit vector, #hatv#, is the vector divided by its magnitude:

#hatv = barv/|barv|#

#hatv= -10/26hati + 24/26hatj#