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They need equal magnitudes and opposite directions.

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Q: What are the conditions for two vectors to add to zero?
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Related questions

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


Two vectors have nonzero magnitudeunder what conditions will their difference be zero?

Their DIFFERENCE will be zero if and only if they have the SAME direction.


Is it possible to add two vectors having different magnitudes and yield zero resultant?

It is certain that two vectors of different magnitudes cannot yield a zero resultant force.


How should two vectors lie so that their resultant is zero?

In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal


Can two vectors of same magnitude add to give zero resultant vector?

Yes.


Can two vectors of unequal magnitude add up to give the zero vector?

No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.


Two vectors have nonzero magnitudeunder what conditions will their sum be zero?

Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.


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.


If two displacement vectors add to yield a total displacement of zero what do you know about the two displacements?

If two displacement vectors add up to zero, it means they are equal in magnitude but opposite in direction. This implies that the two displacements cancel each other out when added together.


How many minimum of vectors are required in space to get resultant zero?

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


Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?

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.