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Q: Is it possible there is a vector space consisting of exactly two distinct vectors?
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Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?

Two vectors: no. Three vectors: yes.


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 a vector space have exactly two distinct vectors in it?

No.A vector space is a set over a field that has to satisfy certain rules, called axioms. The field in question can be Z2 (see discussion), but unlike a field, a vector's inverse is distinct from the vector. Therefore, in order to satisfy the "inverse elements of addition" axiom for vector spaces, a vector space must minimally (except if it is the null space) have three vectors, v, 0, and v-1. The null space only has one vector, 0.Field's can allow for two distinct elements, unlike vector spaces, because for any given element of a field, for example a, a + (-a) = 0 meets the inverse axiom, but a and -a aren't required to be distinct. They are simply scalar magnitudes, unlike vectors which can often be thought of as having a direction attached to them. That's why the vectors, v and -v are distinct, because they're pointing in opposite directions.


Can the resultant of two vectors be 0 how is it possible for two vectors always?

If they are equal in magnitude but act in opposite directions.


Is it possible for the magnitude of the some of two vectors to be larger than the sum of the magnitude of the vectors?

Assuming you mean sum and not some, the answer is No.

Related questions

When to vectors sum to zero how must they be related?

When two vectors sum to zero, they must be equal in magnitude but opposite in direction. This relationship is known as the vectors being antiparallel.


Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?

Two vectors: no. Three vectors: yes.


What is the range of possible values of the resultant of two vectors?

The range of possible values of the resultant of two vectors is from the magnitude of the difference of the magnitudes of the two vectors to the sum of the magnitudes of the two vectors. This range occurs when the two vectors are in the same direction or in opposite directions, respectively.


Is it possible to add any 2 vectors?

Yes, it is possible to add any two vectors as long as they have the same number of dimensions. The result of adding two vectors is a new vector whose components are the sum of the corresponding components of the original vectors.


When two vectors sum to zero how are they related?

Their magnitudes are exactly equal, and their directions are exactly opposite.


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


Is it possible the add a vector and scalar?

no!!!only scalars and scalars and only vectors and vectors can be added.


Can a vector space have exactly two distinct vectors in it?

No.A vector space is a set over a field that has to satisfy certain rules, called axioms. The field in question can be Z2 (see discussion), but unlike a field, a vector's inverse is distinct from the vector. Therefore, in order to satisfy the "inverse elements of addition" axiom for vector spaces, a vector space must minimally (except if it is the null space) have three vectors, v, 0, and v-1. The null space only has one vector, 0.Field's can allow for two distinct elements, unlike vector spaces, because for any given element of a field, for example a, a + (-a) = 0 meets the inverse axiom, but a and -a aren't required to be distinct. They are simply scalar magnitudes, unlike vectors which can often be thought of as having a direction attached to them. That's why the vectors, v and -v are distinct, because they're pointing in opposite directions.


What is the minimum possible magnitude of two vectors?

The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.


Can the resultant of two vectors be 0 how is it possible for two vectors always?

If they are equal in magnitude but act in opposite directions.


What are some of the possible vectors for Ebola Zaire?

monkeys


Is it possible for the magnitude of the some of two vectors to be larger than the sum of the magnitude of the vectors?

Assuming you mean sum and not some, the answer is No.