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Will the value of a vector quantity change if the reference axes are changed?
True vectors are geometric invariants. They have different representations in different co-ordinate systems but the actual geometric object does not change.
Is the magnitude of a vector the same in all reference frames?
No, the vector remains the same. Let in standard coordinates. You can use a different coordinate system to see the vector in a different frame of reference.
What happens to vector when frame of reference is rotated?
Hello, A vector quantity will remain unchanged if the frame of reference is displaced. In case the frame of reference is rotated, the magnitude of the vector will remain same, but its direction as well as its components will change.
Do vectors change with perspective?
Choosing a different reference to describe objects in this space does not change any property of the object or of the space. It is analogous to looking from a different perspective or to talking about it in another language. The magnitude is the same regardless. Vectors are independent of the coordinate system.
When the coordinate axes are translated the component of vector in a plane changes?
Which of the following statement is true? (1) When the coordinate axes are translated the component. of a vector in a plane changes changes through some angle components of the vector change but the vector’s magnitude (3) Sum of a and b is R . If the magnitude of a alone is increased angle between of and R decreases.
What do I already know about using vectors and scalars to describe motion?
The mathematical quantities that are used to describe the motion of objects can be divided into two categories. Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction.
Does a scalar quantity depend on the frame of reference chosen?
No. A scalar does not depend on the frame of reference.
Does a vector quantity depends upon frame of reference chosen?
no , a vector quantity is independent of frame of reference .
Does rotating vector change?
Rotations are defined by the fact that the magnitude of the vector doesn’t change. With A, B, and θ all left unchanged by the rotation of the coordinate system, the scalar product remains unchanged, and is therefore invariant.
What will not change a vector?
Although a vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, a vector is not altered if it is displaced parallel to itself. In contrast to vectors, ordinary quantities that have a magnitude but not a direction are called scalars.
Can the direction of a vector be different in different coordinate systems?
The direction of a vector can be different in different coordinate systems. A 2D vector can have a component equal to zero even when its magnitude is nonzero. The components of a vector can be different in different coordinate systems. It is possible to multiply a vector by a scalar.
When the coordinate axes are translated?
If in the plane with the given X and Y axes new coordinate axes are chosen parallel to the given ones, we say that there has been a translation of axes in the plane. Let P(x,y) be any point in the XY-plane. Let O′(h,k) be the fixed point in the XY- plane.
What is the rate of change of an vector?
vector has magnitude and direction, and it changes whenever either of them changes. Therefore the rate of change of a vector will be equal to the sum of the changes due to magnitude and direction. Rate of change due to magnitude changes
What happens to the vector when the angle of rotation changes?
The angle changed, but the vector as a whole suffered no change. Now, in the case of rotation about a fixed origin, obviously the components of the vector will get modified, because the angles change.
How does translation affect the magnitude of a vector?
A vector is characterized by magnitude and direction. A simple translation does not affect the magnitude of the vector, but changes the values of the components without affecting the magnitude of the vector.
Why are vectors invariant in physics?
So, vectors (or physical quantities that are vectors) remain unchanged or they remain independent of the observers or frame of references. They have to be so, because physical quantities when related among each other forms a law and physical law are invariant no matter who observes it or in what way he observes it.