Question 352124
{{{a}}}=({{{2}}},{{{3}}},{{{-1}}})
{{{b}}}=({{{1}}},{{{2}}},{{{-1}}})
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Dot product: Output is a scalar (a number)
{{{a}}}*{{{b}}}=({{{a1}}},{{{a2}}},{{{a3}}})*({{{b1}}},{{{b2}}},{{{b3}}})={{{a[1]*b[1]+a[2]*b[2]+a[3]*b[3]=2(1)+3(2)+(-1)(-1)}}}
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Cross product: Output is a vector.
{{{a x b=(matrix(3,3,i,j,k,a1,a2,a3,b1,b2,b3))}}}
{{{a x b}}}=({{{a[2]b[3]-a[3]b[2]}}},{{{a[1]b[3]-a[3]b[1]}}},{{{a[1]b[2]-a[2]b[1]}}})
{{{a x b}}}=({{{3(-1)-(-1)(2)}}},{{{2(-1)-(-1)(1)}}},{{{2(2)-3(1)}}})
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Get out a calculator or pencil and paper and complete both calculations to get the final answer.