4 Vectors M and N obey the equation MN 0 These vectors sati

4) Vectors M and N obey the equation M+N = 0. These vectors satisfy which one of the following statements? A) Vectors M and N are at right angles to each other. B) Vectors M and N must point in the same direction. C) Vectors M and N must have the same magnitudes. D) The magnitude of is the negative of the magnitude of N.

Solution

Vectors M and N obey the equation ,

M + N = 0

(A) lf Vectors M and N are at right angles to each other, there sum can not be 0. so lt is wrong option.

(B) lf Vectors M and N point in the same direction, there sum can not be 0. lt is wrong option.

(C) Vectors M and N must have the same magnitudes. (directions are opposite) so there sum is 0.

lt is correct option.

(D) Magnitude of two vectors can not be negative. so lt is wrong option.

Hence, These vectors satisfy which one of the following statements-

(C) Vectors M and N must have the same magnitudes