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Given `vec(a)+vec(b)+vec(c )+vec(d)=vec(O)`, which of the following statements is/are correct.A. `vec(a),vec(b),vec(c )` and `vec(d)` must each be a zero vectorB. The magnitude of `(vec(a)+vec(c))` can equals the magnitude of `(vec(b)+vec(d))`.C. The magnitude of `vec(a)` can never be greater than the sum of the magnitudes of `vec(b),vec(c )` and `vec(d)`.D. `vec(b)+vec(c )` must lie in the plane of `vec(a)` and `vec(d)` if `vec(a)` and `vec(d)` are not collinear, and in the line of `vec(a)` and `vec(d)`. If they are collinear |
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Answer» Correct Answer - B::C::D `{:(vec(a)+vec(b)+vec(c)+vec(d)=0,,),(vec(a)+vec(c)=-(vec(b)+vec(d)),,),(|vec(a)+vec(c)|=|vec(b)+vec(d)|,,"B is correct"),(|vec(a)|=|vec(b)+vec(c)+vec(d)|,,"C is correct"):}` Resultant of three non collinear vector is zero only when they are co-planar and if `vec(a)` and `vec(d)` are collinear then `vec(b)+vec(c )` must be in line of `vec(a)` and `vec(d)` |
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