Answer
3.2
Work Step by Step
$C=\sqrt{3.0^{2}+4.0^{2}}=5.0$
and
$\vec{C}+\vec{B}=(5.0)\hat{j}$
Then;
$\vec{B}=(5.0)\hat{j}-\vec{C}$
$\vec{B}=(5.0)\hat{j}-(3.0\hat{i}+4.0\hat{j})$
$\vec{B}=-3.0\hat{i}+\hat{j}$
$B=\sqrt{(-3.0)^{1}+1.0^{2}}=3.2$