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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.
On Cartesian axes the x-component of a vector is generally associated with what?
cosine
Ten vectors addtogether to give zero resultant it is possible that nine of this vectors are in the same plane but the tenth not on this plane?
No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.No. Let's assume the plane has coordinates x and y; the vector outside the plane has a component for the z-coordinate. In that case, another vector (or several) must also have a component in the z-coordinate, to compensate.
How resolution of vector is used in applying the component methods in adding vectors?
The related question has a nice detail of this. Each vector is resolved into component vectors. For 2-dimensions, it is an x-component and a y-component. Then the respective components are added. These added components make up the resultant 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
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.
Can a vector directed along x-axis have y-axis component?
At what angle should a vector be directed to so that its x component is equal to its y component
Why is it necessary to use the trig function cosine when working with vectors?
The cosine function is used to determine the x component of the vector. The sine function is used to determine the y component. Consider a vector drawn on an x-y plane with its initial point at (0,0). If L is the magnitude of the vector and theta is the angle from the positive x axis to the vector, then the x component of the vector is L * cos(theta) and the y component is L * sin(theta).
In 2 dimensional kinematics can the x component of a vector be great than the vector itself?
No.
Can a vector directed along y-axis have an x component?
Yes: such a vector would have only an x component, and it's change in regards to the y axis would be 0 (i.e. it would never get closer or farther from the y-axis).
How do you find the x and y components of a vector?
Suppose the magnitude of the vector is V and its direction makes an angle A with the x-axis, then the x component is V*Cos(A) and the y component is V*Sin(A)
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 the Poynting vector at this time and position, and how can I find its x-component?
The Poynting vector represents the direction and magnitude of electromagnetic energy flow at a specific time and position. To find its x-component, you can use the formula Poynting vector E x B, where E is the electric field and B is the magnetic field. Calculate the cross product of the electric and magnetic fields to determine the x-component of the Poynting vector.
What is the magnitude of vector -2 0?
A vector, starting at the origin and going to point (-2,0):Since there is no y-component, the magnitude is the absolute value of the x componentmagnitude = 2magnitude of a vector = sqrt( X2 + Y2) = sqrt ((-2)2 + 02) = sqrt(4) = 2where X & Y are the x-component & y-component of the vector.
Can a single vector be replaced by two vectors in the x and y directions.?
Yes, a single vector can be represented by two vectors in the x and y directions using vector decomposition. This is known as resolving a vector into its components and can be done using trigonometry. The x-component corresponds to the projection of the vector onto the x-axis, and the y-component corresponds to the projection of the vector onto the y-axis.
What is the sum of Vector B with x component 2 and y component 18?
That is only one vector. Sum needs two (or more) elements (operands).
How do you find the components to a vector?
Given the vector in angle-radius form? y-component=r sin(theta), x-component=r cos(theta)
