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-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 ![]() ![]() 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 ![]() ![]() Vx = Horizontal component of ![]() Vy = Vertical component of ![]() | |||
MAGNITUDE OF HORIZONTAL COMPONENT | |||
Consider right-angled triangle DOAB | |||
MAGNITUDE OF VERTICAL COMPONENT | |||
Consider right-angled triangle DOAB | |||