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Points A and B have position vector vec(...

Points A and B have position vector `vec(a)=-3hat(i)+2hat(j)+7hat(k)` and `vec(b)=3hat(i)+4hat(j)-5hat(k)` respectively. Show that `l^(2)+m^(2)+n^(2)=1` where l,m,n are the direction cosine of `vec(AB)`

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