How do you find the unit vector in the direction of v: v=4i-2j?

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Answer 1 · 2016-09-09T18:51:15

#(4 i - 2 j) / (2 sqrt(5))#

We have: #v = 4 i - 2 j#

Unit vectors are of the form #hat(u) = (u) / (|u|)#:

#=> hat(v) = (v) / (|v|)#

#=> hat(v) = (4 i - 2 j) / (sqrt((4)^(2) + (- 2)^(2)))#

#=> hat(v) = (4 i - 2 j) / (sqrt(16 + 4))#

#=> hat(v) = (4 i - 2 j) / (sqrt(20))#

#=> hat(v) = (4 i - 2 j) / (2 sqrt(5))#