Which of the following physical quantities is an axial vector ?

Answer

`5Phat(j), 4Phat(i), 6Phat(i)+8Phat(j), -12Phat(i)-9Phat(j), sqrt(20)P, tan^(-1)[-2]` with +ve x-axis

Explanation

`vecF_1=5Phatj,hatF_2=4P_hati,hatF_3=10P((3hati+4hatj)/5)=(6hati+8hatj)P`
`vecF_4=15P(((-hati-3hatj)+(hatj-4hatj)))/5=-12Phati-9Phatj`
`vecF=vecF_1+vecF_2+vecF_3+vecF_4=5Phatj+4Phati+6Phati+8hatj-12Phati-9Phati=-2Phati+4Phatj`
`|vecF|=Psqrt((-2)^2+(4)^2)=sqrt(20)P`
`tan alpha=4/(-2)implies alpha=tan^(-1)(-2)`