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How `Resultant of two unequal vectors cannot be zero`?! And how `Resultant of three co-planar vectors may or may not be zero`?! With figure would be helpful.

How `Resultant of two unequal vectors cannot be zero`?! And how `Resultant of three co-planar vectors may or may not be zero`?! With figure would be helpful.

Grade:11

1 Answers

neeraj agarwal
34 Points
10 years ago
let u have two vectors A and B the minimum of these two vectors is A-B and maximum is A+B. let you have two unequal vectors you get their component in X and Y direction and Now you can have Zero in particular one direction not at both.. OR let U have two vectors A and B resultant magnititude`s square will be A2+B2-2AB Cos(@),where @ is angle between them. to have 0 resultant, this must be zero A2+B2=2AB cos (@) subtracting 2AB both side (A-B)2=2AB(Cos(@)-1) to have zero resultant you have have both same but Cos@-1 is always negative except 0 at zero and 180. so you have to have 0 resultant...it will have only when A=B in LHS hence, two vectors can not be zero if they are unequal. 2) If two vectors have any resultant then third one will neutrilise it when they will be coplanar.

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