Let us define the length of a vector ai^+bj^+ck^ as |a|+|b|+|c| This definition coincides with the usual definition of length of a vectorai^+bj^+ck^ if and only if

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a=b=c=0

any two of a, b and c are zero

any one of a, b and c is zero

a+b+c=0

answer is B.

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Detailed Solution

|a|+|b|+|c|=a2+b2+c2⇔2|ab|+2|bc|+2|ca|=0⇔ab=bc=ca=0⇔ any two of a,b and c are zero

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