In the product
`` \vec{ F } = q (\vec{v} \times \vec{ B }) ``
`` = q \vec{v} \times\left( B \hat{i}+ B \hat{j}+ B _{0} \hat{k}\right) ``
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} ``