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[" 7.If "x,y,z" are non zero real number...

[" 7.If "x,y,z" are non zero real numbers and if "],[x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3))" for some "theta in R," then "],[" show that "xy+yz+zx=0]

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If x,y,z are non zero real numbers and if x cos theta=y cos (theta+(2pi)/3)=z cos (theta+(4pi)/3) for some theta in R then show that xy+yz+zx=0

If x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3)), prove that xy+yz+zx=0

If x costheta=y cos (theta+(2pi)/3)=z cos(theta+(4pi)/3) show that xy + yz+ zx = 0

If xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , prove that x y+y z+z x=0.

If xcostheta=ycos(theta+(2pi)/3)=z cos(theta+(4pi)/3) , prove that x y+y z+z x=0.

If x cos theta = y cos (theta + (2pi)/(3)) = z cos (theta + (4pi)/(3)) , find the value of xy + yz + zx

If x*cos theta=y*cos(theta+(2 pi)/(3))=2*cos(theta+(4 pi)/(3)) then evaluate xy+yz+zx