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If vectors a and b are unit vectors such that (a + b) is a unit vector, what is the angle between a and b?

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If vectors a and b are unit vectors such that (a + b) is a unit vector, what is the angle between a and b?

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It is given that vectors a and b are unit vectors, as well as (a + b) is also a unit vector

Since the modulus of a unit vector is unity.

Now,

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