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Q: Can three vectors add up to zero if they are not coplanar?
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How can you add three vectors of equal magnitude in a plane such as their resultant is zero?

Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.


Why can three vectors add up to zero if they are not coplanars?

Three vectors can add up to zero even if they are not coplanar when they are linearly dependent. This means that one of the vectors can be expressed as a linear combination of the other two vectors, leading to a situation where the vectors cancel each other out in a way that results in a zero vector sum.


Can three vectors of different magnitudes and directions add to zero?

yeah


Is it is possible to add three vectors of equal magnitude and get zero?

Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.


Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?

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.


Is it possible to add three vectors of equal-magnitude but different direction to get zero vector?

Yes, it is possible to add three vectors of equal magnitude but different directions to get a zero vector. This occurs when the vectors are arranged in a way that their directions cancel each other out. Mathematically, this can happen when the vectors form a closed triangle or when they are evenly spaced around a circle.


Can three parallel vectors of uneven magnitude add to zero?

Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0


Can you add zero in a null vector?

Only if your zero is a null vector. You cannot add pure numbers and vectors.


Is it possible to add two vectors of unequal magnitudes an get zero?

No.


Can a pair of vectors with unequal magnitudes ever add to zero?

No.


What is the least number of non-zero vectors that can be added to give a resultant equal to zero?

Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.


Is it possible to add three equal length vectors and obtain a vector sum of zero?

Sure, Just space them 120 degrees apart.