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Can three vectors (i) lying in a plane, (ii) not lying in a plane give zero resultant ? Explain. |
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Answer» (i) If three vectors; a, b and c given zero resultant, then vector a + b + c = 0 or a -(vector b + c) i.e vectors a ,b and c will give zero resultant, if vector a is equal to negative of vector (b + c). Because vector (b + c) lies in the plane b and c hence a will be negative of vector (b + c), vector a, b and c all lie in plane. (ii) Form above discussion, it also follows that three vectors cannot give zero resultant, if they do not lie in a plane. |
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