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 | ||
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RESOLUTION OF VECTOR
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