Vectors

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Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Vectors

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22 Mar 2012 22:18:05 IST
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Basic Vector Operations

Both a magnitude and a direction must be specified for a vector quantity, in contrast to a scalar quantity which can be quantified with just a number. Any number of vector quantities of the same type (i.e., same units) can be combined by basic vector operations.

 

Graphical Vector Addition

Adding two vectors A and B graphically can be visualized like two successive walks, with the vector sum being the vector distance from the beginning to the end point. Representing the vectors by arrows drawn to scale, the beginning of vector B is placed at the end of vector A. The vector sum R can be drawn as the vector from the beginning to the end point.

The process can be donemathematically by finding thecomponents of A and B,combining to form the components of R, and then converting to polar form.




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