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if |a-b| = |a| = |b| then, what is the angle between a and b?

Akanksha , 4 Years ago
Grade 11
anser 2 Answers
Saurabh Koranglekar

Last Activity: 4 Years ago

Dear student

There must be more conditions given, if not

a,b can be zero vectors and angles possible are infinite

But that is trivial, kindly attach the question's complete image

Regards

Akanksha

Last Activity: 4 Years ago

We are given |a-b| = |a| = |b|
 
a-b = sqrt(a^2 + b^2 – 2abcostheta) = a
 
a^2 = a^2 + a^2 – 2a^2costheta
 
2a^2costheta = a^2
 
costheta = ½
 
Hence theta = 60 deg

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