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pallavi pradeep bhardwaj Grade: 12
        

If a=i-j and b=i+k then a unit vector coplanar with a and b and perpendicular to a is

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear pallavi


you can take any vector in plane of two given vector


r =xa +yb


 =x(i-j) +y (i+k)


 =i(x+y) -xj +yk


 


if it is perpendicular to a then


 r.a=o


{i(x+y) -xj +yk}.(i-j)=0


2x+y=0


so r will become r= -x[i+j +2k]


 if it is a unit vecttor then ( x2 + x2 +4x2)1/2=1


                                       x= ±1/√6


so r= ±1/√6[i +j+2k]



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Badiuddin

7 years ago
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