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WHY DOES THE RESULTANT VECTOR AFTER CROSS PRODUCT PERPENDICULAR TO THE VECTORS BEFORE CROSS PRODUCT??
Dear araku
It is the difinition of vector .suppose three unit vector along the 3 axis ,
i ,j,k
according to definition iXj =k ,jXk =i ,kXi =j and iXi=0 ,jXj=0, kXk=0
now consider any general vector a =a1i + a2j + a3k
and b = b1i + b2j + b3k
now find aXb=c = (a1i + a2j + a3k)X( b1i + b2j + b3k)
= (a1b2-a2b1)k + (a2b3-a3b2)i + (a3b1 - a1b3)j
now find a.c
it will come that a.c=0
so vector c is perpendicular to vector a
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