## Physics XI Content

# RESOLUTION OF VECTOR

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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-componentComponent 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 RESOLVINGA VECTOR INTO RECTANGULAR COMPONENTS | |||

Consider a vector acting at a point making an angle q with positive X-axis. Vector isrepresented 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 V _{x} and V_{y} respectively. By the method of head to tail we notice that the sum of these vectors is equal to vector . Thus, V_{x} and V_{y} are the rectangular components of vector .V_{x} = Horizontal component of . = V _{y}Vertical component of . | |||

MAGNITUDE OFHORIZONTAL COMPONENT | |||

Consider right-angled triangle DOAB | |||

MAGNITUDE OFVERTICAL COMPONENT | |||

Consider right-angled triangle DOAB | |||