Can three vectors not lying in same plane give zero resultant?

Can three vectors not lying in same plane give zero resultant?

No, the sum of the three vectors will be zero only when they all lie in the same plane. This is because the resultant of any two vectors lies in their own plane and therefore it can’t cancel the effect of a third vector, which does not lie in the plane of the other two vectors.

Can 3 vectors give zero resultant?

Resultant of three vectors will be zero if all of the below conditions are applicable: If the direction of resultant of those two vectors is exactly opposite to the direction of the third vector. 3. If the magnitude of resultant of two vectors is exactly equal to the magnitude of the third vector.

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Under what conditions three vectors Cannot give zero resultant?

The resultant cannot be zero if all the vectors do not lie in the same plane.

Can three vectors in one plane give a zero resultant can four vectors do?

Three vectors which are not in one plane can not givee zero resultant. The resultant of four coplanar vectors can be zero.

When can the resultant of two vectors be zero?

Yes, when the 2 vectors are same in magnitude and direction.

What do you mean by subtraction of vectors?

To subtract two vectors, you put their feet (or tails, the non-pointy parts) together; then draw the resultant vector, which is the difference of the two vectors, from the head of the vector you’re subtracting to the head of the vector you’re subtracting it from.

Can three vectors of different magnitudes be combined to give a zero resultant explain?

No , two vectors of different magnitude cannot give a zero resultant . But three vectors can , provided one vector is equal and opposite to the resultant of the other two vectors .

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Is it possible to add any two vectors?

Two vectors can be added together to determine the result (or resultant).

Can we add three vectors not lying in the same plane?

The resultant of two vector lies in same plane. hence three vector in single plane cannot give the resulatant zero.

Why is the resultant of three vectors not zero?

Here, since the three vectors do not lie in the same plane, the resultant of the two cannot be in opposite direction of the third, hence resultant can not be zero….. when we take four vectors which are not in same plane their rectangular components cancels each other therefore their resultant is zero.

Can a 4-vector vector have a zero value?

Even tree 3-vectors not in one plane can’t give a zero result. However, more can. You can always add more planes. For 4-vector the represent particles the 4-component is always positive and you never get zero. Certainly. The “not in one plane” is really just a distraction.

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How do you find the resultant of four non-Coplanar Vectors?

The vector sum, A+B+C= R+C =S which is, clearly not in the plane of A and B. Lastly we need to make the resultant zero, so we take a vector opposite to S, i.e. -S . In this way we get the resultant of four non coplanar vectors as 0. I would recommend you to draw this process stepwise on a sheet of paper cause that would help better.

What is the minimum number of vectors that can be added together?

But if every vector must lie outside every plane defined by any two others then the minimum number of vectors must be four if a plane is defined to be 2-dimensional, regardless of the In any space of one dimension or more, the minimum number of nonzero vectors that can be added to give a zero resultant is two.