Answer to Question #338644 in Analytic Geometry for Nhlabathi nonhlanh

Question #338644

Determine the moment vector m about the origin, o, of a force f= 10i-j+2k passing through the point with position vector r=2i-3j+5k


1
Expert's answer
2022-05-09T16:17:33-0400
"\\vec M=\\vec {r}\\times\\vec{F}=\\begin{vmatrix}\n \\vec{i} & \\vec{j} & \\vec{k} \\\\\n 2 & -3 & 5 \\\\\n 10 & -1 & 2 \\\\\n\\end{vmatrix}"

"=\\vec{i}\\begin{vmatrix}\n -3 & 5 \\\\\n -1 & 2\n\\end{vmatrix}-\\vec{j}\\begin{vmatrix}\n 2 & 5 \\\\\n 10 & 2\n\\end{vmatrix}+\\vec{k}\\begin{vmatrix}\n 2 & -3 \\\\\n 10 & -1\n\\end{vmatrix}"

"=-\\vec{i}+46\\vec{j}+28\\vec{k}"


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