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दर्शाइए की `a.(bxxc)` का परिमाण तीन सदिशों a,b तथा c से बने समान्तर पष्टफलन के आयतन के बराबर है

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माना पष्टफलन तीन सदिशों से बना है
जहाँ OA=a, OB=b तथा OC=c
b तथा c का सदिश गुणनफल निम्न प्रकार होगा- `(bxxc)=b c sin 90^(@).hatn=bc hatn `
जहाँ, `hatn,OA` के अनुदिश एकांक सदिश है `therefore a.(bxxc)=a.(bc hatn) `
`=a(bc)cos 0^(@)=abc`
जो समान्तर पष्टफलन के आयतन के बराबर है
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