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mark mine as th ebst plzzzzzzzzzzzzzzzzz

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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)