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Given vector $\overset { \rightharpoonup }{ a } =\left[ { \begin{array} { *{ 20 }{ c } }3 \\\ 5 \\\ { -2 } \end{array} } \right] \quad and\quad \overset { \rightharpoonup }{ b } =\left[ { \begin{array} { *{ 20 }{ c } }{ -5 } \\\ 4 \\\ 7 \end{array} } \right]$

What is the cross product of $\overset { \rightharpoonup }{ a } \times \overset { \rightharpoonup }{ b }$?

A

$\left[ { \begin{array} { *{ 20 }{ c } }{ 27 } \\\ { 31 } \\\ { -13 } \end{array} } \right]$

B

$ \left[ { \begin{array} { *{ 20 }{ c } }{ 43 } \\\ { 11 } \\\ { 37 } \end{array} } \right]$

C

$\left[ { \begin{array} { *{ 20 }{ c } }{ 37 } \\\ { -37 } \\\ { -23 } \end{array} } \right]$

D

$\left[ { \begin{array} { *{ 20 }{ c } }{ 17 } \\\ { -57 } \\\ { -43 } \end{array} } \right]$

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