यदि `overset(rightarrow)(a)=hati-hatj-6hatk, overset(rightarrow)(b)=hati-hatj+4hatk` तथा `overset(rightarrow)(c)=2hati-5hatj+3hatk ` है तो `[overset(rightarrow)(a)overset(rightarrow)(b) overset(rightarrow)(c)]` का मान ज्ञात कीजिएः

Explanation

आदिश त्रिगुण कि परिभाषा से `[overset(rightarrow)(a)overset(rightarrow)(b)overset(rightarrow)(c)]=|{:(,1,-1,-6),(,1,-1,4),(,2,-5,3):}|`
`|{:(,0,0,-10),(,1,-1,4),(,2,-5,3):}| R_(1) to R_(1) to R_(2)` ltbr =30