If A→ = 3i^+j^+2k^ and B→ = 2i^−2j^+4k^ then value of |A→ ×B→| will be:

$\vec{A} \times \vec{B} = (\begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ 3 & 1 & 2 \\ 2 & - 2 & 4 \end{matrix})$

$= (1 \times 4 - 2 \times (- 2)) \hat{i} - (4 \times 3 - 2 \times 2) \hat{j} + (3 \times (- 2) - 1 \times 2) \hat{k}$

= $8 \hat{i} - 8 \hat{j} - 8 \hat{k}$

$∴ Magnitude of \vec{A} \times \vec{B} = | \vec{A} \times \vec{B} |$

$= \sqrt{{(8)}^{2} + {(- 8)}^{2} + {(- 8)}^{2}} = 8 \sqrt{3}$

If $\vec{A} = 3 \hat{i} + \hat{j} + 2 \hat{k} and \vec{B} = 2 \hat{i} - 2 \hat{j} + 4 \hat{k} then value of | \vec{A} \times \vec{B} | will be$ :