If in a Delta ABC, sin ^(3) A + sin ^(3)...

If in a `Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C`
`=3 sin A .Sin B. sin C,` then find the valueof determinant
`|{:(a,b,c),(b,c,a),(c,a,b):}|.`

Verified by Experts

The correct Answer is:

0

Similar Questions

Explore conceptually related problems

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|

If a,b,c are positive and unequal, show that value of the determinant Delta=|{:(a,b,c),(b,c,a),(c,a,b):}| is negative

Given that sin (A+ B) = sin A cos B + cos A sin B , find the value of sin 75° .

In Delta ABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA SinB then C =

If A + B + C = 180^@ , then prove that sin 2 A+ sin 2B + sin 2C = 4 sin A sin B sin C

In DeltaABC,if cos A+ sin A -(2)/(cos B + sin B) =0, then (a+b)/c is equal to

In a Delta ABC, c cos ^(2)""(A)/(2) + a cos ^(2) ""(C ) /(2)=(3b)/(2), then a,b,c are in

If sin C =( 15)/(17) , then find cos C ,

In a triangle ABC, sin A- cos B = Cos C , then angle B is

If in DeltaABC, angle A=90^(@) and c, sin B cos B are rational numbers, then show a and b are rational .