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No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line.

For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero.

Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.

Q: Can three vectors not in one plane give zero resultant?

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Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.

Yes.

Two vectors: no. Three vectors: yes.

Two vectors, no; three vectors yes.

Yes if you put them "head to tail" and the head of the fourth one points to the tail of the first one the resultant is zero.

Related questions

Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.

Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.

Yes, it is possible for nine vectors to lie in the same plane while the tenth vector is not on that plane. This situation can occur when the vectors in the plane add up to a resultant that cancels out or balances the out-of-plane vector, resulting in a zero net sum.

Yes.

Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.

Two vectors: no. Three vectors: yes.

yes the resultant of the two vectors can be zero.it can be illustrated by drawing following diagram.a triangle may be considered as a vector diagram in which the force polygon close and the resultant of the three vectors is zero.

Two vectors, no; three vectors yes.

Yes if you put them "head to tail" and the head of the fourth one points to the tail of the first one the resultant is zero.

Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.

Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.

No, it is not possible to combine two vectors of different magnitudes to give a zero resultant. However, it is possible to combine three or more vectors of different magnitudes and directions to give a zero resultant if they form a closed polygon or if they are in equilibrium.