设\(m,n\)是两条不同的直线,\(\alpha ,\beta \)是两个不同的平面,且\(m\subset \alpha ,n\subset \beta \),下列命题中正确的是\((\) \()\)
A. 若\(\alpha \bot \beta \),则\(m\bot n\)
B. 若\(\alpha /\!/\beta \),则\(m/\!/n\) C. 若\(m\bot n\),则\(\alpha \bot \beta \) D. 若\(n\bot \alpha \),则\(\alpha \bot \beta \)