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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.
What else can I help you with?
Can a vector have a component greater than the magnitude of vector?
no a vector cannot have a component greater than the magnitude of vector
What is the difference between a resultant vector and a component vector?
The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t
What is it called the part of a vector that lies along an axis?
The part of a vector that lies along an axis is called the "component" of the vector. Each component represents the projection of the vector onto the respective axis, usually denoted as the x-component, y-component, and z-component in three-dimensional space. These components are crucial for analyzing the vector's behavior in different directions.
What is meant by null vector?
a vector with nothing in it
Is a scalar a component of a vector?
Answer: A vector is always the product of 2 scalars
Can a vector have a component greater than the magnitude of vector?
no a vector cannot have a component greater than the magnitude of vector
Will a vector be zero if anyone of its component is zero?
If any component of a vector is not zero, then the vector is not zero.
Can a vector have a component greater than the vector's magnitude?
No, a vector's component cannot be greater than the vector's magnitude. The magnitude represents the maximum possible magnitude of a component in any direction.
Vector component greater than the vectors magnitude?
can a vector have a component greater than the vector magnitude
Can a vector have a component greater than the magnitude of the vector?
No, a vector component is a projection of the vector onto a specific direction. It cannot have a magnitude greater than the magnitude of the vector itself.
What are vector components?
prrpendicular projections of a vector called component of vector
Can a component of vector greater than vector magnitude?
No, a component of a vector cannot be greater than the magnitude of the vector itself. The magnitude of a vector is the maximum possible value that can be obtained from its components.
How do you find the component of a vector perpendicular to another vector?
The component of a vector x perpendicular to the vector y is x*y*sin(A) where A is the angle between the two vectors.
What is the difference between a resultant vector and a component vector?
The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t
What is it called the part of a vector that lies along an axis?
The part of a vector that lies along an axis is called the "component" of the vector. Each component represents the projection of the vector onto the respective axis, usually denoted as the x-component, y-component, and z-component in three-dimensional space. These components are crucial for analyzing the vector's behavior in different directions.
Can the component of a vector ever be greater than the magnitude of the vector?
No.
Can you multiply a vector and a scalar?
Yes, you can multiply a vector by a scalar. The scalar will multiply each component of the vector by the same value, resulting in a new vector with each component scaled by that value.
