Physics XI Content
RESOLUTION OF VECTOR
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DEFINITION
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| 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 |
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| 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. | |||
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METHOD OF RESOLVING
A VECTOR INTO RECTANGULAR COMPONENTS |
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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 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 . |
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MAGNITUDE OF
HORIZONTAL COMPONENT |
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| Consider right-angled triangle DOAB | |||
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MAGNITUDE OF
VERTICAL COMPONENT |
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| Consider right-angled triangle DOAB | |||
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