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What else can I help you with?
Why null vector is called vector?
The same sort of reasoning that zero is a number. It ensures that the set of all vectors is closed under addition and that, in turn, allows the generalization of many operations on vectors.Also, the way we got around the concept of having something with zero magnitude also have a direction is pretty cool. We made it up! In abstract algebra it's perfectly OK to constrain a specific algebraic structure with rules (called axioms) that the structure must follow.In your example, the algebraic structure that vectors are in is called a "vector space." One of the axioms that define a vector space is:"An element, 0, called the null vector, exists in a vector space, v, such that v + 0 = vfor all of the vectors in the vector space."Ta Da!! Aren't we clever?
How many vectors can be formed by joining the vertices of a given quadrilateral?
12 vectors, unless it is a parallelogram (13 if you include the null vector). If the quadrilateral is a parallelogram there will be two fewer.
What is an expression vector and what problem does it solve?
A cloning vector that contains a highlhy active prokaryotic promoter just upstream of a restriction site where the eurkaryotic gene can be inserted in the correct reading frame. Such expression vectors allow the synthesis of many eukaryotic proteins in bacterial cells.
What is an algebraic representation of a vector?
There are many algebraic representations that can denote the vector.A number is an algebric representation of a vector, when denoted by a unit vector factor, e.g Av= IAx + JAy + KAz. The unit vectors are I, J and K and these denote the vector. The subscript v as in Av also denotes the vector, other denotations can be Bolding A, as a vector.oI use brackets A= Ar + Av = [a, A] where the upper case is the vector in the brackets and the lower case is the scalar or real.You can use just the comma, A= [5 ,6 4 3] where the real 5 is before the comma and everything past the comma is a vector.There are many algebraic representations that can denote the vector.
A resultant vector is?
a resultant vector not only the resultant of two or three vector. it is the resultant direction of two or many vectors.(let us push an object with same force in opposite direction the resultant is zero and if we push in same direction the force will double.if we pull a object with same force in x and y direction the resultant force in 45 degrees to x axis)
What items are vectors?
If you want to know what a vector is.... here is a link for you. That is a giant topic. Many books are written about it. http://mathforum.org/~klotz/Vectors/vectors.html
Which virus is the mosquito not known as a possible vector?
Smallpox is the virus that mosquitos are not known as a possible vector.
Why null vector is called vector?
The same sort of reasoning that zero is a number. It ensures that the set of all vectors is closed under addition and that, in turn, allows the generalization of many operations on vectors.Also, the way we got around the concept of having something with zero magnitude also have a direction is pretty cool. We made it up! In abstract algebra it's perfectly OK to constrain a specific algebraic structure with rules (called axioms) that the structure must follow.In your example, the algebraic structure that vectors are in is called a "vector space." One of the axioms that define a vector space is:"An element, 0, called the null vector, exists in a vector space, v, such that v + 0 = vfor all of the vectors in the vector space."Ta Da!! Aren't we clever?
How many vectors can be formed by joining the vertices of a given quadrilateral?
12 vectors, unless it is a parallelogram (13 if you include the null vector). If the quadrilateral is a parallelogram there will be two fewer.
How many vectors in a triangle?
Three or none.Three or none.Three or none.Three or none.
What is the significance of orthonormality in the context of linear algebra and how does it relate to the concept of vector spaces?
Orthonormality is important in linear algebra because it simplifies calculations and makes it easier to work with vectors. In the context of vector spaces, orthonormal vectors form a basis that allows any vector in the space to be expressed as a linear combination of these vectors. This property is fundamental in many mathematical applications, such as solving systems of equations and understanding transformations in space.
How many equal vectors should be added to get a null vector?
To get a null vector, you need to add at least two equal vectors together. Adding any number of equal vectors will always result in a vector that is parallel to the original vector, but to get a null vector the magnitudes of two equal vectors must cancel each other out.
What are uses of vectors in technology?
Simply put, a Vector is a linear direction. It could be the direction that a line in a drawing or graph heads in, it could relate to a pattern of numbers, or it could be the direction in which a spaceship is flying. Vectors do not by their nature encompass dynamic movement as part of linear movement. EG: a river does not have one vector but many. "Movement" by the way does not neccessarily mean physical movement. There are several different kinds of vector. There are mathematical vectors, such as are found in calculations regarding shapes, there are movement vectors that describe (for example) the movement of a vehicle, there are velocity vectors which pertain to the direction in which something is impelled or compelled (a plane in flight, or when a raindrop falls, etc)... there are vectors for all sorts of things. Many vectors of many kinds can apply to the same (object) at the same time. For instance, a weather satellite may have an orientation vector of 0 (it is facing along the plane of "0"), a thrust vector of 5 (its thrusters are aimed differently to its orientation), a velocity vector of 50 (it is heading the OPPOSITE was as it is facing), and an accelleration vector of 20 (its accelleration is currently constant at 20 whatevers per whatever). So you see, a vector isn't neccessarily the direction in which something is physically moving, it is just a direction. In mathematics it is usually descriptive of a progression of numbers, eg: 1,2,3,4,5 and so on. The vector is +1 because for each progression you add 1 to reach the next. It is a line and a direction. You can apply vectors to just about anything you can think of. All something needs is a point of reference in space, time or mathematics and it can have one or several vectors.
What is difference between pgptv and pet vector?
many researchers know about the pET vectors but you have to be more specific about pgptv- who makes it, for instance
Does vector subtraction commutes?
Vector addition is basically similar, with respect to many of its properties, to the addition of real numbers.A + B = B + ASubtraction is the inverse of addition: A - B = A + (-B), where (-B) is the opposite vector to (B).A - B is not usually the same as B - A. Therefore, it is not commutative.However, if you convert it to an addition, you can apply the commutative law: A + (-B) = (-B) + A.
How many force vectors can one object have?
An object can have multiple force vectors acting on it simultaneously. These force vectors can come from various sources such as gravity, applied forces, friction, and tension. Each force vector contributes to the overall net force acting on the object.
What is the role of the vectors in the transmission of disease?
Vectors play a crucial role in the transmission of diseases by transferring pathogens from one host to another. They can be insects like mosquitoes, ticks, or flies, as well as animals like rodents. Vectors act as carriers for diseases such as malaria, dengue fever, Lyme disease, and plague, among others.
