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pallavi pradeep bhardwaj Grade: 12
        

I a,b,c be three unit vectors such that a*(b*c)=1/2b and b is not parallel to c then the angle between a and c is

7 years ago

Answers : (2)

Badiuddin askIITians.ismu Expert
147 Points
										Dear pallavi


a X(b X c)=1/2b

or (a.c)b -(a.b)c =1/2 b

or ((a.c) -1/2)b - (a.b)c =0
b is not parallel to c

so coefficient of b must be zero
a.c -1/2 =0
a.c =1/2
|a| |c| cosT =1/2

where T is angel between a and c
1*1* cosT =1/2
T =60

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Badiuddin
7 years ago
Badiuddin askIITians.ismu Expert
147 Points
										

Dear pallavi


a X(b X c)=1/2b


or (a.c)b -(a.b)c =1/2 b


or ((a.c) -1/2)b - (a.b)c =0


b is not parallel to c so coefficient of b must be zero


a.c -1/2 =0


a.c =1/2


|a| |c| cosT =1/2 where T is angel between a and c


1*1* cosT =1/2


T =60


Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation.


All the best. Regards,


Askiitians Experts


 Badiuddin

7 years ago
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