Its either reality based (vertical is up-down, horizontal is ground distance)
or it's purely arbitrary.
Traditionally a vector has two components:
In addition, one might accept that a vector also contains a starting point, although this is technically not part of a vector.
A vector may be denoted or described as:
Such as AB (with a vector line above it) where A is the initial point, and B is the terminating point. I generally do not prefer this denotation, but some do.
That applies to vectors in a plane. Usually the vector is separated into horizontal and vertical components. It's also possible to express such a vector as a length (or magnitude), and a direction.
All vectors have a magnitude and direction. For example, velocity is a vector, so you would say for example, "20m/s west".
Yes. on a typical graph, the x and y components are the horizontal and vertical parts of the vector.
Magnitude and direction
The magnitude and direction.
No. The components of a vector will change based on what coordinate system is used to express that vector.
Yes.
It is the other way round - it's the vector that has components.In general, a vector can have one or more components - though a vector with a single component is often called a "scalar" instead - but technically, a scalar is a special case of a vector.
Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.
A vector can be represented in terms of its rectangular components for example : V= Ix + Jy + Kz I, J and K are the rectangular vector direction components and x, y and z are the scalar measures along the components.
The components of a vector are magnitude and direction.
The components of a vector are magnitude and direction.
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector
If all the components of a vector are zero, the magnitude of the vector will always be zero.
prrpendicular projections of a vector called component of vector
decomposition of a vector into its components is called resolution of vector
No. The components of a vector will change based on what coordinate system is used to express that vector.
NO, a vector will not be zero if one of its components will be zero.
A vector can have as many components as you like, depending on how may dimensions it operates in.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
False.