If `A:B =2 :3` and `B:C =4 : 9`, then `A:C` is equal to

If A:B = 2:7 and B:C = 9:13, find A:C.

If A:B = 1:3 and B: C = 2:5. find A:C.

If A:B = 3:5 and B: C = 8:11, find A.C.

If A:B=3:4 and B:C=2:3 , find A:B:C .

Let A,B,C be three unit vectors and A.B= A.C=0. If the angel between B and C is pi/6 , then A is equals to

Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a xx c + b=0 and a.c =4, then |c|^(2) is equal to .

If A, B and C are square matrices of same order and I is an identity matrix of the same order, such that C^(2)=CB+AC and AB=I , then (C-A)^(-1) is equal to

If a : b = 3 : 4 and b : c = 8 : 9, find a : b : c

If ∣ -a a^2 ab ac ab -b^2 bc ac bc -c^2 | = ka^2b^2c^2 , then k is equal to

If a, b, c are non zero complex numbers satisfying a^(2) + b^(2) + c^(2) = 0 and |(b^(2) + c^(2),ab,ac),(ab,c^(2) + a^(2),bc),(ac,bc,a^(2) + b^(2))| = k a^(2) b^(2) c^(2) , then k is equal to