How to find the cross product of 2 vectors?
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its simple
determinant nethod
cross product is given by
a*b=(axi+ayj+azk)*(bxi+byj+bzk0
=i j k
ax ay az
bx by bz
we will use i,j,k one by one
when i is chosen its corresponding row and column become bound and remaining elements are subtracted after cross multiplication
so i(aybz-byaz)is component along i
similarly in j,
component is axbz-bxaz
same argument for k also
so
A*B=i(aybz-byaz)-j(axbz-bxaz)+k(axby-bxay)
determinant nethod
cross product is given by
a*b=(axi+ayj+azk)*(bxi+byj+bzk0
=i j k
ax ay az
bx by bz
we will use i,j,k one by one
when i is chosen its corresponding row and column become bound and remaining elements are subtracted after cross multiplication
so i(aybz-byaz)is component along i
similarly in j,
component is axbz-bxaz
same argument for k also
so
A*B=i(aybz-byaz)-j(axbz-bxaz)+k(axby-bxay)
Thanx
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