What Is The Minimum Number Of Vectors Of Non Zero Unequal Magnitude That Could Add To Be Equal To The Zero Vector?

What lengths are needed for three vectors to have a vector sum of zero?

What length restrictions are required for three vectors to have a vector sum of zero.

Explain your reasoning.

No The required length restriction for three vectors is the sum of the lengths of any two of them must be greater than the third one.

This is referred to as the triangle inequality..

How do you add two vectors together?

To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two vectors. The sum of two or more vectors is called the resultant. The resultant of two vectors can be found using either the parallelogram method or the triangle method .

What are the maximum and minimum resultant of two forces?

The resultant of two forces acting on the same point is maximum when the forces are acting in the same direction and minimum when they operate in opposite direction. When the two forces are acting in the same direction the angle between the direction to the two forces is 0.

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

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. Is the zero vector perpendicular to every other vector, or is the angle of a vector with the zero vector undefined?

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 is the condition for two vectors to be collinear?

Definition 2 Two vectors are collinear, if they lie on the same line or parallel lines. In the figure above all vectors but f are collinear to each other. Definition 3 Two collinear vectors are called co-directed if they have the same direction.

Can two vectors with unequal lengths ever add to zero?

Two vectors of unequal magnitude can never sum to zero. If they point along the same line, since their magnitudes are different, the sum will not be zero.

When two vectors A and B are added the magnitude of resultant vector is always?

When two vectors →A and →B of magnitudes a and b respectively are added, the magnitude of resultant vector is always. Join the 2 Crores+ Student community now!

What should be the angle between two vectors for their resultant to be maximum?

0 degreesfor the resultant to be maximum, both the vectors must be parallel. hence the angle between them must be 0 degrees.

When two vectors are added together their resultant is a minimum when the angle between them is?

The resultant of two vector is minimum when both vectors are equal and in opposite direction i.e. the angle between the vector is 180 degrees.

What is a coplanar vector?

Coplanar vectors are the vectors which lie on the same plane, in a three-dimensional space. These are vectors which are parallel to the same plane. We can always find in a plane any two random vectors, which are coplanar. Also learn, coplanarity of two lines in a three dimensional space, represented in vector form.

Can 3 unequal vectors add to zero?

If any three vectors add up to zero, they must form a triangle in which each vertex is the head of one vector and tail of other vector. Since a scalene triangle exists, three unequal vectors can add up to zero. … magnitude of sum of two vectors must be equal to the magnitude of third.

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.

Is the minimum number of vectors with equal magnitudes whose vector sum can be zero?

A pair of co-linear vectors of equal magnitude and opposite direction will add up to a 0 vector. … The answer is actually 0, because a sum of 0 vectors is defined to be 0.

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)

Can two nonzero perpendicular vectors be added together so their sum is zero?

Can 2 non-zero perpendicular vectors be added together so that their sum is zero? ANSWER: No. The sum of two perpendicular non-zero vectors can never be zero.

What is the minimum number of unequal vectors that can give 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 is the minimum number of coplanar vectors having different magnitude can be added to give zero?

three vectorsAccording 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.