Question

If the sum of two unit vectors is a unit vector. Then magnitude of difference is ________.

Answer 1

Here I assume |A⃗ |A→|  = 1 and |B⃗ B→| = 1

I want to find the magnitude of |A⃗ −B⃗ A→−B→| and θθ

Look here : You can even use this directly to find out the magnitude of their difference. You can remember that :

|A-B|^2 + |A+B|^2 = 2(|A|^2 + |B|^2)



This is a step by step solution .

Answer 2

THE magnitude of its difference is also a unit vector...
Here... cos90 = 0
so resultant will be a unit vector..