let us define , the length of a vector as `|a| + |b| +|c| `. this definition coincides with the usual definition of the length of a vector `ahati + bhatj + chatk ` if

Options

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

B

Explanation

`|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.