Question: What Is The Minimum Number Of Non Zero Vectors?

What is the minimum number of vectors of non zero unequal magnitude that could add to be equal to the zero vector?

we can take more than 2 vectors of unequal magnitude for the resultant to be zero..

so the minimum no.

of vectors of unequal magnitude for the resultant to be zero and maximum is infinity..

What is the minimum number of vectors with equal magnitudes?

2Minimum number is 2, because 2 vectors of equal magnitude in opposite directions give zero resultant.

What should be the least number of unequal vectors in same plane whose resultant could be zero?

threeAssertion: The minimum number of vectors of unequal magnitude required to produce zero resultant is three. Reason: Three vectors of unequal magnitude which can be represented by the three sides of a triangle taken in order, produce zero resultant.

What happens when we multiply a vector by 2?

When a vector is multiplied by {-2}, the resultant vector is in opposite direction and the magnitude doubles.

Which is not a vector quality?

In contrast to vectors, ordinary quantities that have a magnitude but not a direction are called scalars. … Quantities such as displacement and velocity have this property (commutative law), but there are quantities (e.g., finite rotations in space) that do not and therefore are not vectors.

What is the minimum number of unequal vectors that can give zero?

threeTwo collinear vectors can make zero resultant but they should be of same magnitude and opposite direction in same straight line. When vectors are unequal minimum number required to make zero resultant is three.

What is the minimum number of vectors?

According to the Triangle Law of vector addition, a minimum of three vectors are needed to get zero resultant. So we can say that a minimum of 3 coplanar vectors is required to represent the same physical quantity having different magnitudes that can be added to give zero resultant.

What is the minimum number of vectors with equal magnitude whose vector sum can be zero?

Originally Answered: What is minimum number of vectors of equal magnitude to produce zero resultant? Obviously, if these vectors of equal magnitude themselves have 0 magnitude, it only takes 1. Otherwise, the answer is 2. A pair of co-linear vectors of equal magnitude and opposite direction will add up to a 0 vector.

What is the unit vector perpendicular to the plane of vectors A and B?

The unit vector perpendicular to both the vectors a ,b is ∣a ×b ∣a ×b =192 19(j^+k^)=2 j^+k^

Can a nonzero vector have a zero?

the magnitude of the vector is the square root of the products of the components, so if one component of a vector is non-zero then it is possible for the vector to have zero magnitude.

What does non zero mean?

A quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero. SEE ALSO: Negative, Nonnegative, Nonpositive, Nonvanishing, Positive, Zero.

Does the zero vector have a direction?

With no length, the zero vector is not pointing in any particular direction, so it has an undefined direction. We denote the zero vector with a boldface 0, or if we can’t do boldface, with an arrow →0.

What is the minimum number of vectors in different planes?

Four vectors in different planes may give zero resultant.

What is a non zero vector?

A nonzero vector is a vector with magnitude not equal to zero.

Which of following is not a vector quantity?

Answer: Speed is not a vector quantity. It has only magnitude and no direction and hence it is a scalar quantity.

Can three vectors lying in a plane give zero resultant?

The resultant of the two vectors lie in the same plane. Hence, three vectors in single plane cannot give the resultant 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.

What is maximum number of components into which a vector can be split?

A vector can be split into infinite components (but only 3 orthogonal ones)

Is force a vector quantity?

As described in leaflet 1.1. (Introduction to Mechanics) vector quantities are quantities that possess both magnitude and direction. A force has both magnitude and direction, therefore: Force is a vector quantity; its units are newtons, N.

What is the least number of nonzero vectors than can be added to yield a zero resultant?

3Minimum 3 non zero vectors are required to make the resultant zero. This is because the 3 vectors can form a triangle and the resultant will be zero.

What is a resultant vector?

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R. As shown in the diagram, vector R can be determined by the use of an accurately drawn, scaled, vector addition diagram.

What are 3 types of vectors?

Types Of VectorsZero Vector.Unit Vector.Position Vector.Co-initial Vector.Like and Unlike Vectors.Co-planar Vector.Collinear Vector.Equal Vector.More items…