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Lets name the vector V: (-2,7)
U which is the unit vector is
[tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]
Hope that helps!