define resolution of vector with example
Answers
Answer:
any vector directed at an angle to the horizontal (or the vertical) can be thought of as having two parts (or components). That is, any vector directed in two dimensions can be thought of as having two components. For example, if a chain pulls upward at an angle on the collar of a dog, then there is a tension force directed in two dimensions. This tension force has two components: an upward component and a rightward component. As another example, consider an airplane that is displaced northwest from O'Hare International Airport (in Chicago) to a destination in Canada. The displacement vector of the plane is in two dimensions (northwest). Thus, this displacement vector has two components: a northward component and a westward component.
In this unit, we learn two basic methods for determining the magnitudes of the components of a vector directed in two dimensions. The process of determining the magnitude of a vector is known as vector resolution.
Answer:
DEFINITION
The process of splitting a vector into various parts or components is called "RESOLUTION OF VECTOR"
These parts of a vector may act in different directions and are called "components of vector".
We can resolve a vector into a number of components .Generally there are three components of vector viz.
Component along X-axis called x-component
Component along Y-axis called Y-component
Component along Z-axis called Z-component
Here we will discuss only two components x-component & Y-component which are perpendicular to each other.These components are called rectangular components of vector.
METHOD OF RESOLVING
A VECTOR INTO
RECTANGULAR COMPONENTS
Consider a vector acting at a point making an angle q with positive X-axis. Vector is
represented by a line OA.From point A draw a perpendicular AB on X-axis.Suppose OB and BA
represents two vectors.Vector OA is parallel to X-axis and vector BA is parallel to Y-axis.Magnitude
of these vectors are Vx and Vy respectively.By the method of head to tail we notice that the sum of these vectors is equal to vector .Thus Vx and Vy are the rectangular components of vector .
Vx = Horizontal component of .
Vy = Vertical component of .
