Resolving a vector into components means breaking down the vector into perpendicular vectors that align along the coordinate axes. For example, a vector of magnitude 10 at an angle of 30 degrees with the x-axis can be resolved into x-component = 10cos(30) and y-component = 10sin(30) where cos(30) = √3/2 and sin(30) = 1/2.
A negative vector is a vector that has the opposite direction of the original vector but the same magnitude. It is obtained by multiplying the original vector by -1. In other words, if the original vector points in a certain direction, the negative vector points in the exact opposite direction.
A primitive translational vector is the smallest vector that can translate a point in a crystal lattice to a similar point. It defines the repeating unit cells in a crystal lattice and is used to describe the periodicity of the lattice structure.
Basically, a scalar magnitude is one in which the direction is not relevant; a vector magnitude is one in which the direction is relevant. A scalar can be represented by a single real number; a vector requires at least two numbers (for example, the x-component and the y-component; or alternately a magnitude and a direction).
The product of scalar and vector quantity is scalar.
The velocity of an object includes both its speed (magnitude of the velocity) and its direction of motion. It is a vector quantity that describes how fast and in which direction an object is moving. Velocity can be constant or changing depending on any accelerations acting on the object.
a vector with nothing in it
A unit vector has a length (magnitude) equal to 1 (one unit). A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
A resultant vector is one vector which can replace all the other vectors and produce the same effect.
i had 2 change what i thought
It is a measure which has a direction as well as a value.
A component of a vector can be thought of as an "effectiveness" of that vector in a given direction. It's actually a "piece" or "part" of the vector. A vector is a geometric object with the two characteristics of direction and magnitude. It is when we plot these in a coordinate system that we see the components appear. If we draw a graph with the standard x and y coordinates handed down to us from Descartes, we can more easily see the components. On the graph, draw a vector from the origin (0,0) to the point (5,5). We set the origin as the point of initiation of the vector, and the "little arrow" on the "head" or terminus of the vector is at (5,5). But that vector represents the sum of two other vectors. One is the vector from the origin that runs along the x-axis to (5,0) and the other is the vector that runs from the origin along the y-axis to (0,5). As stated, the sum of these other two vectors makes the original vector we drew. And each of these vectors, the x and y vectors we drew, is a component of the vector we are inspecting. The components of vectors can be expanded into a multitude of dimensions, and will be dependent on the system we use to plot them. Wikipedia has some additional information, and a link is provided.
It stands for gradient vector flow.
like they were meant to be written into a full story or they have a resolving ending
A negative vector is a vector that has the opposite direction of the original vector but the same magnitude. It is obtained by multiplying the original vector by -1. In other words, if the original vector points in a certain direction, the negative vector points in the exact opposite direction.
A force is a vector - in two dimensions, you can represent it on paper as an arrow. Such vector/arrows have a size, and a direction. The size is usually called the "magnitude".
It doesn't do anything other than to create a compiler error. A vector is a class template thus you must specify the element type in the type declaration. For example, a std::vector<T> is a vector of type T elements. It is assumed you really meant the following: std::vector<char> alphabet (26); This declaration constructs a vector of type char with a length of 26 elements. The elements are default initialised, thus the vector will contain 26 NULL characters (ASCII character code 0).
A primitive translational vector is the smallest vector that can translate a point in a crystal lattice to a similar point. It defines the repeating unit cells in a crystal lattice and is used to describe the periodicity of the lattice structure.