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Any quantity having magnitde as well as direction is called a vector .
Vector quantity is represented by putting the arrow on the top of the quantity .
for example velocity is a vector quantity but speed is a scalar quantity.

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Vectors quantities are physical quantities that have both magnitude and direction.  To uniquely specify these quantities we need a reference point and reference lines, i.e. we need a coordinate system.  The most commonly used coordinate systems are rectangular, Cartesian coordinate systems.  Other widely used coordinate systems are cylindrical and spherical coordinate systems.
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