Question

Which of the sets given below may represent the magnitudes of three vectors adding to zero?
(a) 2, 4, 8
(b) 4, 8, 16
(c) 1, 2, 1
(d) 0.5, 1, 2

Answer 1

(c) 1, 2, 1

1,2 and 1 may represent the magnitudes of three vectors adding to zero.For example one of the vector of length 1 should make an angle of ${135}^{\circ }$ with x axis and the other vector of length 1 makes an angle of ${225}^{\circ }$ with x axis. The third vector of length 2 should lie along x axis.