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Ques: Find the unit vector which is perpendicular to the resultant of 2i+3j+5k and -i+2j+7k ; and passes through (1,2,4)

ajay kumar , 13 Years ago

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1 Answers

Arun Kumar

$v_{res}=(2\vec i +3 \vec j+5\vec k)+(-\vec i +2 \vec j +7\vec k)=2\vec i+5\vec j+12j\\ v_{along\,v_{res}\,and\,passing\,through \,v_{1}}=(2\vec i +3 \vec j+5\vec k)+t(\vec i+5\vec j+12j)$

Assume a point x,y,z on the require unit vector line

$(x,y,z).(1,5,12)=z+5y+12=0$

this cut that line at

$(2+t)+5(3+5t)+12(5+12t)=0$

get t from here now you got that point.

Now

$v_{required}=x\vec i+y\vec j+z\vec k+t(\vec i+2\vec j+4\vec k) \\=>\widehat{n_{required}}=v_{required}/|v_{required}|$

Arun Kumar

IIT Delhi

Askiitians Faculty

Last Activity: 11 Years ago

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Vectors> vector...

Ques: Find the unit vector which is perpendicular to the resultant of 2i+3j+5k and -i+2j+7k ; and passes through (1,2,4)

ajay kumar , 13 Years ago

Arun Kumar

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