If `p+q+r=0` and `|(pa,qb,rc),(qc,ra,pb),(rb,pc,qa)| = lambda |(a,b,c),(c,a,b),(b,c,a)|` then `lambda =`

If p + q + r = a + b + c = 0, then the determinant |(pa,qb,rc),(qc,ra,pb),(rb,pc,qa)| equal to :

If p + q + r = a + b + c = 0, then the determinant |{:(pa,qb,rc),(qc,ra,pb),(rb,pc,qa):}| equals

If [[axxb,bxxc, c xxa]]=lambda[[a, b, c]]^(2) , then lambda is equal to

If |(a^2,b^2,c^2),((a+lambda)^2,(b+lambda)^2,(c+lambda)^2),((a-lambda)^2,(b-lamda)^2,(c-lambda)^2)|=klambda|(a^2,b^2,c^2),(a,b,c),(1,1,1)|lambda!=0 then k is equal to : (A) 4 lambda abc (B) -4 lambda abc (C) 4 lambda^2 (D) -4 lambda^2

If a,b,c are there given non-coplanar vectors and any arbitrary vector r is in space. Where, Delta_(1) =|{:(r.a,b.a,c.a),(r.b,b.b,a.b),(r.a,b.c,c.c):}|, Delta_(2)=|{:(a.a,r.a,c.a),(a.b,r.b,c.b),(a.c,r.c,c.c):}|, Delta_(3) =|{:(a.a,b.a,r.a),(a.b,b.b,r.b),(a.c,b.c,r.c):}|, Delta=|{:(a.a,b.a,c.a),(a.b,b.b,c.b),(a.c,c.c,c.c):}| The value of |{:(a,b,c),(a.p,b.p,c.p),(a.q,b.q,c.q):}| is: