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Suppose $a, b, c \in C,$ and $| a | = | b | = | c | = 1$ and $a b c = a + b + c$ then $b c + c a + a b$ is equal to

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Correct option is C

|a|2=|b|2=|c|2=1 ⇒ aa¯=bb¯=cc¯=1Now, abc=a+b+c⇒ a¯b¯c¯=a¯+b¯+c¯⇒ 1abc=1a+1b+1c⇒ bc+ca+ab=1

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Suppose a,b,c∈C,and |a|=|b|=|c|=1 and abc=a+b+c then bc+ca+ab is equal to

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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Suppose $a, b, c \in C,$ and $| a | = | b | = | c | = 1$ and $a b c = a + b + c$ then $b c + c a + a b$ is equal to