I have a unit vector(adsbygoogle = window.adsbygoogle || []).push({});

[tex]frac{{{\rm - 2}}}{{\sqrt {{\rm 89}} }},\frac{{\rm 7}}{{\sqrt {{\rm 89}} }},\frac{{{\rm - 6}}}{{\sqrt {{\rm 89}} }}[/tex]

I need to figure out a vector with a length of 4 with that as a unit vector. Now I'm thinking that I can just do…

[tex]t(\frac{{{\rm - 2}}}{{\sqrt {{\rm 89}} }},\frac{{\rm 7}}{{\sqrt {{\rm 89}} }},\frac{{{\rm - 6}}}{{\sqrt {{\rm 89}} }})[/tex]

Distribute T and then do the [tex]\sqrt {a^2 + b^2 + c^2 } [/tex]

Thing to get the length to equal 4?

[tex]4 = \sqrt {(\frac{{{\rm - 2t}}}{{\sqrt {{\rm 89}} }})^2 + (\frac{{{\rm 7t}}}{{\sqrt {{\rm 89}} }})^2 + (\frac{{{\rm - 6t}}}{{\sqrt {{\rm 89}} }})^2 } [/tex]

??? Is that how you would figure it out?

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# Homework Help: Vector of a certain length given unit vector

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