Question

Let us define the length of a vector `ahati+bhatj+chatk` and `|a|+|b|+|c|`. This definition coincides with the usual definition of length of a vector `ahati+bhatj+chatk` if an only if
A. a=b=c=0
B. any two of a,b and c are zero
C. any one of a,b and c is zero
D. a+b+c=0

Answer 1

Correct Answer - B
`|a|+|b|+|c|=sqrt(a^(2)+b^(2)+c^(2))`
`hArr 2|ab|+2|bc|+2|ca|=0`
`hArr ab=bc=ca=0 hArr` any two of a,b and c are zero.