any no. of vector whose resultant will give the same initial vector can be considered as it component.) … (EXPLANATION :-
A vector can be split into infinite number of components
.
How many components are possible for a vector?
In two dimensions (in a plane), vectors have two components. In three dimensions (in space), vectors have
three components
. A vector component of a vector is its part in an axis direction. The vector component is the product of the unit vector of an axis with its scalar component along this axis.
Can a vector have infinite magnitude?
Vectors can be defined over any field, using elements from that field, and can have length equal to an element of that field. Since the real numbers
do not have any numbers of infinite size
(since infinity is not itself a number), no vector made of real numbers will have infinite length.
Can a vector have 4 components?
In physics, when you break a vector into its parts, those parts are called its components. For example, in the vector (4, 1),
the x-axis (horizontal) component is 4
, and the y-axis (vertical) component is 1.
Can vectors be broken into components?
In a two-dimensional coordinate system,
any vector can be broken into x -component and y -component
. For example, in the figure shown below, the vector →v is broken into two components, vx and vy . The vector and its components form a right angled triangle as shown below. …
Does every vector have a magnitude?
Vector quantities have two characteristics
, a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction. For scalars, you only have to compare the magnitude.
Can a vector have no direction?
We define a vector as an object with a length and a direction. However, there is one important exception to vectors having a direction: the zero vector, i.e., the unique vector having zero length. With no length,
the zero vector is not pointing in any particular direction
, so it has an undefined direction.
Is a 4 vector a tensor?
Four-tensors of this kind are usually known as four-vectors. … The remaining components of the four-displacement form the spatial displacement vector x = (x
1
, x
2
, x
3
). The four-momentum for massive or massless particles is. combining its energy (divided by c) p
0
= E/c and 3-momentum p = (p
1
, p
2
, p
3
).
Are vectors 3 dimensional?
A 3D vector is
a line segment in three-dimensional space
running from point A (tail) to point B (head). Each vector has a magnitude (or length) and direction. Remember, the fundamentals will not change because we are just adding another dimension here.
Can a vector have more than 2 components?
Any vector directed in two dimensions
can be thought of as having two different components.
What does resultant vector mean?
The resultant is
the vector sum of two or more vectors
. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R. … If two or more velocity vectors are added, then the result is a resultant velocity.
How is a vector broken down?
In a two-dimensional coordinate system, any vector can be
broken into x -component and y -component
. For example, in the figure shown below, the vector →v is broken into two components, vx and vy . Let the angle between the vector and its x -component be θ .
What is the resolution of vector?
Resolution of a vector is
the splitting of a single vector into two or more vectors in different directions
which together produce a similar effect as is produced by a single vector itself. The vectors formed after splitting are called component vectors.
Is scalar always positive?
| Speed Velocity | It is scalar quantity. It is a vector quantity. | It is always positive. It can be positive, negative or zero. |
|---|
Is vector a current?
Note:
Current is a vector
because it has a magnitude and a direction. But the thing is a vector always obeys the law of addition of vectors. Since current doesn't obey it and it follows algebraic addition, currents are scalar.
What does two lines around a vector mean?
We denote the magnitude of the vector →v as ∥→v∥ . That is, the double lines around a vector signify
its magnitude
.
