What is the cross product of $[3, 1, -4]$ and $[1, 1, 18]$ ?

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Answer 1 · 2015-12-20T21:49:04

$(22,-53,2)$

The vector cross product of two 3-dimesnional vectors in the vector space $RR^3$ may be computed as a matrix determinant

$(3,1,-4)xx(1,1,18)=|(hati,hatj,hatk),(3,1,-4),(1,1,18)|$

$=hati(18+4)-hatj(54-1)+hatk(3-1)$

$=22hati-53hatj+2hatk$

$=(22,-53,2)$

What is the cross product of [3, 1, -4][3, 1, -4] and [1, 1, 18] [1, 1, 18] ?