If a¯=2i¯−3j¯−4k¯, b¯=i¯+4j¯−2k¯, c¯=3i¯−j¯+4k¯ then a¯×b¯ b¯×c¯ c¯×a¯=

a¯×b¯ b¯×c¯ c¯×a¯=a¯ b¯ c¯2a¯ b¯ c¯=2−3−414−23−12=110a¯ b¯ c¯2=1102=12100

If a¯=2i¯−3j¯−4k¯, b¯=i¯+4j¯−2k¯, c¯=3i¯−j¯+4k¯ then a¯×b¯ b¯×c¯ c¯×a¯=

a¯×b¯ b¯×c¯ c¯×a¯=a¯ b¯ c¯2a¯ b¯ c¯=2−3−414−23−12=110a¯ b¯ c¯2=1102=12100

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If $\bar{a} = 2 \bar{i} - 3 \bar{j} - 4 \bar{k},$ $\bar{b} = \bar{i} + 4 \bar{j} - 2 \bar{k},$ $\bar{c} = 3 \bar{i} - \bar{j} + 4 \bar{k}$ then $[\bar{a} \times \bar{b} \bar{b} \times \bar{c} \bar{c} \times \bar{a}] =$

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$[\bar{a} \times \bar{b} \bar{b} \times \bar{c} \bar{c} \times \bar{a}] = {[\bar{a} \bar{b} \bar{c}]}^{2}$

$[\bar{a} \bar{b} \bar{c}] = |\begin{matrix} 2 & - 3 & - 4 \\ 1 & 4 & - 2 \\ 3 & - 1 & 2 \end{matrix}| = 110$

${[\bar{a} \bar{b} \bar{c}]}^{2} = {(110)}^{2} = 12100$

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If a¯=2i¯−3j¯−4k¯, b¯=i¯+4j¯−2k¯, c¯=3i¯−j¯+4k¯ then a¯×b¯ b¯×c¯ c¯×a¯=

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If $\bar{a} = 2 \bar{i} - 3 \bar{j} - 4 \bar{k},$ $\bar{b} = \bar{i} + 4 \bar{j} - 2 \bar{k},$ $\bar{c} = 3 \bar{i} - \bar{j} + 4 \bar{k}$ then $[\bar{a} \times \bar{b} \bar{b} \times \bar{c} \bar{c} \times \bar{a}] =$