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pallavi pradeep bhardwaj Grade: 12
        

The value of x for which the angle between the vectors a=xi-3j-k b=2xi+xj-k is acute and the angle between the vectors b and the axis  of ordinate is obtuse are

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear pallavi


angle between the vectors a=xi-3j-k b=2xi+xj-k is acute
so cosΘ >0
 or a.b>0
   2x2 -3x +1>0


(x-1)(2x-1)>0


 x<1/2   or  x>1


angle between the vectors b and the axis  of ordinate is obtuse


so b.j<0


    x<0


 fo final solution is x<0


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Badiuddin


 

7 years ago
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