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[" 21.If "x" cos theta "=y cos(theta+(2 ...

[" 21.If "x" cos theta "=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3))],[" Prove that "xy+yz+zx=0],[" [ Hint: Let "x cos theta=y cos(theta+(2 pi)/(3))=z cos(theta+(4 pi)/(3))=k],[" Now show that "(k)/(x)+(k)/(y)+(k)/(z)=0," then "xy+yz+zx=0]],[" Type.III."]

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

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