Write the value of [2 i 3 j 4 k ]. - Vidyadip

Question

Write the value of $\big[2\hat{\text{i }} 3\hat{\text{j }}4\hat{\text{k}}\big].$

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Answer

We have
$\big[2\hat{\text{i }}3\hat{\text{j }}4\hat{\text{k}}\big]$
$=\big(2\hat{\text{i}}\times3\hat{\text{j}}\big).4\hat{\text{k}}$ $\big(\therefore\big[\vec{\text{a}}\vec{\text{b}}\vec{\text{c}}\big]=\big(\vec{\text{a}}\times\vec{\text{b}}\big).\vec{\text{c}}\big)$
$=6\hat{\text{k}}.4\hat{\text{k}}$
$=24$

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