Test Academy | 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 for B → ? -8i^-8j^−6k^, -6i^-6j^−8k^, 8i^+8j^−6k^, 6i^+6j^−8k^

Question

In the product
$\vec{F} = q (\vec{v} \times \vec{B}) = q \vec{v} \times (B \hat{i} + B \hat{j} + B_{0} \hat{k})$
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 $\vec{B}$ ?

Options :

$- 8 \hat{i} - 8 \hat{j} - 6 \hat{k}$
$- 6 \hat{i} - 6 \hat{j} - 8 \hat{k}$
$8 \hat{i} + 8 \hat{j} - 6 \hat{k}$
$6 \hat{i} + 6 \hat{j} - 8 \hat{k}$

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