If `veca,vecb and vecc` are three vectors of which every pair is non colinear. If the vector `veca+vecb and vecb+vecc` are collinear with the vector `vecc` and `veca` respectively then which one of the following is correct? (A) `veca+vecb+vecc` is a nul vector` (B) `veca+vecb+vecc` is a unit vector (C) `veca+vecb+vecc` is a vector of magnitude 2 units (D) `veca+vecb+vecc` isd a vector of magnitude 3 units

Options

A. a unit vector
B. the unit vector
C. equally inclined to `veca , vecb , vec c `
D. none of these

Answer

B