Physics · PYQ NEET UG 2021

In the product \( \vec{F} = q(\vec{v} \times \vec{B}) = qv \times (B_1\hat{i} + B_2\hat{j} + B_3\hat{k}) \) 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 \( \vec{B} \)?

1. A
   \( -6\hat{i} - 6\hat{j} - 8\hat{k} \)
2. B
   \( 8\hat{i} + 8\hat{j} - 6\hat{k} \)
3. C
   \( 6\hat{i} + 6\hat{j} - 8\hat{k} \)
4. D
   \( -8\hat{i} - 8\hat{j} - 6\hat{k} \)