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victor vector from a to b with x affecting! aaarrgh

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Q: What is a vector set?
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How to find orthogonal vector?

Given one vector a, any vector that satisfies a.b=0 is orthogonal to it. That is a set of vectors defining a plane orthogonal to the original vector.The set of vectors defines a plane to which the original vector a is the 'normal'.


Are direct cosines of a vector unique?

No, the direct cosines of a vector are unique only up to a sign change. This means that if a set of direct cosines uniquely defines a vector, a set of direct cosines with opposite signs for all components would define the same vector.


Is the set of stochastic matrices a vector space?

Nope


How do you name the direction of a vector?

The direction of a vector is defined in terms of its components along a set of orthogonal vectors (the coordinate axes).


How do you eliminate vectors?

To eliminate a vector, you can set its components to zero. This effectively removes the contribution of that vector from any calculations or equations it was involved in.


Can a vector with a non zero component be zero?

No. The answer does assume that "components" are defined in the usual sense - that is, a decomposition of the vector along a set of orthogonal axes.


What are the vector and scalar fields?

In mathematics, a field is a set with certain operators (such as addition and multiplication) defined on it and where the members of the set have certain properties. In a vector field, each member of this set has a value AND a direction associated with it. In a scalar field, there is only vaue but no direction.


If two hermitrion operator commute then they have a common set of eigen vector?

Eigenspace


How to program set Cardinality in C plus plus?

The cardinality of a set is simply the number of elements in the set. If the set is represented by an STL sequence container (such as std::array, std::vector, std::list or std::set), then the container's size() member function will return the cardinality. For example: std::vector<int> set {2,3,5,7,11,13}; size_t cardinality = set.size(); assert (cardinality == 6);


The resultant of a set of vectors is?

The single vector which would have the same effect as all of them together


How is a resolution of a vector different from the resultant of vectors?

When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.


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.