LinAlg4.2.8

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If \bar{a}=2\bar{i}-3\bar{j}+5\bar{k},\bar{b}=-\bar{i}-4\bar{j}+2\bar{k}\,,then write \bar{a}\times\bar{b}\,

Given \bar{a}=2\bar{i}-3\bar{j}+5\bar{k},\bar{b}=-\bar{i}-4\bar{j}+2\bar{k}\,

\bar{a}\times\bar{b}=\begin{vmatrix} \bar{i} & \bar{j} & \bar{k} \\ 2 & -3 & 5 \\ -1 & 4 & 2 \end{vmatrix}\,

\bar{i}(-6-20)-\bar{j}(4+5)+\bar{k}(8-3)=-26\bar{i}-9\bar{j}+5\bar{k}\,


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