Which of the following statements is/are true? (A) Three vectors not lying in a plane give zero resultant (B) Three vectors lying in a plane can give zero resultant (C) Two vectors of different magnitude can be combined to give a zero resultant

Step-by-step solution

Statement (A): Three non-coplanar vectors cannot give a zero resultant because the resultant of any two vectors lies in their plane, and the third vector, being out of this plane, cannot cancel it. Thus, statement (A) is false. Statement (B): Three coplanar vectors can give a zero resultant if they can be represented by the three sides of a triangle taken in the same order. Thus, statement (B) is true. Statement (C): Two vectors can give a zero resultant only if they have equal magnitudes and opposite directions. T