Question

If the sum of two unit vectors is a unit vector then what is the magnitude of difference

Answer 1

Addition of vector formula
R = sqrt(A^2 + B^2 + 2ABCosθ)
According to question
1 = sqrt(1^2 + 1^2 + 2*1*1Cosθ)
Cosθ = -1/2
θ = 120°

Magnitude of their difference
R = sqrt(A^2 + B^2 - 2ABCosθ)
R = sqrt(1^2 + 1^2 - 2*1*1*Cos120)
R = sqrt(2 + 1)
R = sqrt(3)

Magnitude of the difference is sqrt(3)

Answer 2

Hope this will help u friend