Vector Algebra

When vector \(\vec{A}=2 \hat{i}+3 \hat{j}+2 \hat{k}\) is subtracted from vector \(\overrightarrow{\mathrm{B}}\), it gives a vector

equal to \(2 \hat{j}\). Then the magnitude of vector \(\overrightarrow{\mathrm{B}}\) will be :