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madhu12
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how would we find the unit vector in the direction of v= i+j?
 3 years ago
 3 years ago
madhu12 Group Title
how would we find the unit vector in the direction of v= i+j?
 3 years ago
 3 years ago

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Owlfred Group TitleBest ResponseYou've already chosen the best response.1
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 3 years ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
The vector i=<1,0> and j=<0,1> so the i+j=<1+0,0+1>=<1,1>. The length of this vector is easy: i+j=\[\sqrt{2}\] to make the vector i+j=<1,1> a unit vector we rescale it by it's length (i.e. divide i+j by its length) , v=(i+j)/(i+j) thus we have v=\[1/\sqrt{2} <1,1>\] or \[<1/\sqrt{2}, 1/\sqrt{2}>\] If you check the length of this vector v, you see it indeed does have length =1. It is parallel to the vector i+j because it's components are proportional to the components of i+j=<1,1>.
 3 years ago
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