设$\stackrel{\rightharpoonup }{a},\stackrel{\rightharpoonup }{b},\stackrel{\rightharpoonup }{c}$是非零向量，已知命题$P$：若$\stackrel{\rightharpoonup }{a}·\stackrel{\rightharpoonup }{b}=0$，$\stackrel{\rightharpoonup }{b}·\stackrel{\rightharpoonup }{c}=0$，则$\stackrel{\rightharpoonup }{a}·\stackrel{\rightharpoonup }{c}=0$；命题$q$：若$\stackrel{\rightharpoonup }{a}\parallel \stackrel{\rightharpoonup }{b},\stackrel{\rightharpoonup }{b}\parallel \stackrel{\rightharpoonup }{c}$，则$\stackrel{\rightharpoonup }{a}\parallel \stackrel{\rightharpoonup }{c}$，则下列命题中真命题是（）

A．

$p\vee q$

B．

$p\wedge q$

C．

$\left(\neg p\right)\wedge \left(\neg q\right)$

D．

$p\vee \left(\neg q\right)$