Knowing that the norm of a vector of AB is 4 and a point A(1,2), how do you find B?

Question

Basically the title.

Knowing the vector norm AB and the point A how do I find B?

Answer 1

I think you mean the absolute value of $$|\vec{AB}|=4$$ if so then we get $$\sqrt{(x_B-1)^2+(y_B-2)^2}=4$$