- #1

magisbladius

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x is a unit vector [tex]\in \Re^{2}[/tex]. My textbook states that [tex]\frac{x}{||x||}=\frac{1}{||x||}x[/tex]. What is the point of including [tex]\frac{1}{||x||}[/tex]; why do they divide the vector by its length?

Edit: I just looked at a book in Google's database, and from what I understand:

e.g. [tex]\sqrt{{2^2+2^2+1^2}}=3[/tex] so that becomes [tex](\frac{2}{3}) ,(\frac{2}{3}),(\frac{1}{3}) = 1[/tex] due to the the vector rule (add by component). Basically, the answer to my question lies in the proof.

Edit: I just looked at a book in Google's database, and from what I understand:

e.g. [tex]\sqrt{{2^2+2^2+1^2}}=3[/tex] so that becomes [tex](\frac{2}{3}) ,(\frac{2}{3}),(\frac{1}{3}) = 1[/tex] due to the the vector rule (add by component). Basically, the answer to my question lies in the proof.

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