The graphical representation of a vector has its tail at the origin of a two-dimensional coordinate system. Both the horizontal and vertical components are negative. The tip of the vector lies in the third quadrant.
A vector quantity represents two independent quantities. They are magnitude and direction. It can be represented as a directed line segment, whose length is the magnitude of the vector and an arrow that indicates the direction. The direction is generally represented from its tail to the head.
The cartesian coordinate system has four quadrants. In first quadrant, the components of both x and y are positive. In second quadrant, the component of x is negative and y is positive. In third quadrant, the component of x is negative and y is negative. In fourth quadrant, the component of x is positive and y is negative.
Here, it is said that both horizontal and vertical components are negative. This means that the vector lies in the third quadrant.
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