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What is the minimum number of unequal vectors that give a zero resultant?
ALHASSANWASHERU
Three
One is obviously out. Two is out because if two unequal forces n and p act on an object the resultant with the minimum force in magnitude is |n - p|, which will never be 0 if n =/= p. Three can be easily resolved with a quick example. Imagine an object with three concurrent forces acting on it. Two forces, n = 3 N and p = 4 N, create an angle with each other such that the resultant is 5 N. 180 degrees from the resultant, a force, r = 5 N, is acting on the object. Thus three unequal vectors on an object can result in 0.
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What is the minimum number of vectors in different planes that can be added to give a zero resultant?
There is no minimum.
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.
What is the minimum number of vectors with equal magnitudes whose vector sum can be zero?
Two is the minimum number of vectors that will sum to zero.
What' does the addition of two vectors give you?
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.
Can the resultant of three vectors be zero also define is it possible for two vectors?
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
What is the Minimum number of vectors with unequal magnitudes whose vector sum can be zero?
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
What is the minimum number of vectors in different planes that can be added to give a zero resultant?
There is no minimum.
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.
What is the minimum number of vectors with equal magnitudes whose vector sum can be zero?
Two is the minimum number of vectors that will sum to zero.
What is the smallest number of vectors that can be added to give a zero resultant?
Two.Equal magnitudes in opposite directions.
What must be the minimum number of vectors in a space is required so that their sum is zero?
If none of the individual vectors has a magnitude of zero, thenthe minimum number that can combined to make zero is two.
What' does the addition of two vectors give you?
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.
What is the minimum number of vectors having different planes which can be added to give zero resultant?
you'll need at least three. Think of them as being connected. To have a zero resultant, putting the vectors together head to tail should form a closed shape. The first vector can be in any direction. The second vector starts where the first ended, and extends in a different plane. The last vector starts from where the second ended and extends to the beginning of the first vector. The three end up making a triangle, which gives you a zero resultant
What is the minimum number of unequal forces whose vector sum can be zero is and why?
3
Can the resultant of three vectors be zero also define is it possible for two vectors?
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
Can resultant of 3 vectors be zero?
Sure. For one example, if their magnitudes are equal and their directions are spaced 120 degrees apart, then they add to zero. There are an infinite number of other sets of magnitudes and directions that add to zero, i.e. have a zero resultant.
What is the number of non co-planner unequal vectors required to produce zero resultant?
The answer given below (by myself) is wrong. The correct answer is four or more.It is possible to represent any set of vectors with a zero resultant as a closed straight-lined figure in 3-dimensional space (or in hyperspace with more dimensions).Any three points must make a triangle which is a plane shape, so the minimum number required for the vectors to be non coplanar is four. There is no maximum.All you need is a polygon, grab a couple of vertices and twist so that the shape is no longer planar.- - - - - - - - - -Three.ConsiderA = -i + 2jB = -2j + 3kandC = i -3kThenA is in the xy-planeB is in the yz-planeand C is in the xz-planeso they are non co-planar.Also|A| = sqrt(5)|B| = sqrt(13), and|C| = sqrt(10)so that A ≠B ≠C ≠ABut A + B + C = 0
