যদি [(0,2b,c),(a,b,-c),(a,-b,c)] অর্থোগোনাল ম্যাট্রিক্স হয়, তাহলে |abc| এর মান সমান (যেখানে...

If [(0,2b,c),(a,b,-c),(a,-b,c)] is orthogonal matrix, then the value of |abc| is equal to (where |*| represents modulus function)

|[b+c, a,a] , [b,c+a,b] , [c,c,a+b]|=4abc

In a Delta ABC, If ,a,b1,c,a1,b,c]|=0, then

|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|=2(3abc-a^(3)-b^(3)-c^(3))

Prove that |(a+b, b, c), (b+c, c, a), (c+a, a, b)| = 3abc - a^3-b^3-c^3.

In DeltaABC,(a+b-c)(b+c-a)(c+a-b)-abc is always

(b + c) ^ (2), ab, caab, (a + c) ^ (2), bcac, bc, (a + b) ^ (2)] | = 2abc (a + b + c) ^ ( 3)

If =det[[abc,b^(2)c,c^(2)babc,c^(2)a,ca^(2)abc,c^(2)a,ca^(2)abc,a^(2)b,b^(2)a]]=0,(a,b,c in R) and a+b+c,=0a+b+c,=0