In the product F = q ( v × B ) = q v ×( B i + B j + B_0 k ) For q =1 and v =2 i +4 j +6 k and F =4 i -20 j +12 k What will be the complete expression…

In the product $$\begin{aligned} \overrightarrow{\mathrm{F}} & =\mathrm{q}(\vec{v} \times \overrightarrow{\mathrm{B}}) \\ & =\mathrm{q} \vec{v} \times\left(\mathrm{B} \hat{i}+\mathrm{B} \hat{j}+\mathrm{B}_0 \hat{k}\right) \end{aligned} $$ For $\displaystyle \mathrm{q}=1$ and $\displaystyle \vec{v}=2 \hat{i}+4 \hat{j}+6 \hat{k}$ and $$\overrightarrow{\mathrm{F}}=4 \hat{i}-20 \hat{j}+12 \hat{k} $$ What will be the complete expression for $\displaystyle \overrightarrow{\mathrm{B}}$ ?