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Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector.
The reason for doing this is that vectors acting at right angles to one another do not affect one another.
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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
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 resolution of vector?
Spliting up of vector into its rectangular components is called resolution of vector
What is meant by rectangular unit vector?
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.).
Is a scalar a component of a vector?
Answer: A vector is always the product of 2 scalars
If one of the rectangular component of a vector is not zero can its magnitude be zero?
No.
How a vector can be express in term of its rectangular component?
A vector can be expressed in terms of its rectangular components by breaking it down into its horizontal and vertical components. These components represent the projection of the vector onto the x and y axes. The vector can then be expressed as the sum of these components using the appropriate unit vectors (i and j for x and y directions, respectively).
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
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?
A vector component can never be greater than the vector's magnitude. The magnitude of a vector is the length of the vector and is always greater than or equal to any of its individual components.
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 resolution of vector?
Spliting up of vector into its rectangular components is called resolution of vector
