In the product
$$
\begin{aligned}
&\vec{F}=q(\vec{v} \times \vec{B}) \\
&=q \vec{v} \times\left(B \hat{i}+B \hat{j}+B_{0} \hat{k}\right)
\end{aligned}
$$
For \(q=1\) and \(\vec{v}=2 \hat{i}+4 \hat{j}+6 \hat{k}\) and \(\vec{F}=4 \hat{i}-20 \hat{j}+12 \hat{k}\)
What will be the complete expression for \(\vec{B}\) ?
A \(-8 \hat{i}-8 \hat{j}-6 \hat{k}\)
B \(-6 \hat{i}-6 \hat{j}-8 \hat{k}\)
c \(8 \hat{i}+8 \hat{j}-6 \hat{k}\)
D \(6 \hat{i}+6 \hat{j}-8 \hat{k}\)
