The vector a module is root 3, the vector b module is 1, and the angle between a and B is 30 degrees. Find the angle between vector (a + b) and vector (a-b)

The vector a module is root 3, the vector b module is 1, and the angle between a and B is 30 degrees. Find the angle between vector (a + b) and vector (a-b)

|a+b|^2=4+2ab=4+3=7
|a+b|=√7
Similarly, A-B = 1
cosθ=(a^2-b^2)/√7=2√7/7
θ=arccos2√7/7