Graphical Representation of Vectors
Vectors are often distinguished from scalar quantities either by placing a small
arrow over the quantity, or by writing the quantitity in a bold font. It is also
common to indicate a vector by drawing an arrow whose length is proportional
to the magnitude of the vector, and whose direction
specifies the orientation of the vector.
In the adjacent image we show graphical
representations for three vectors. Vectors A and C
have the same magnitude but different directions.
Vector B has the same orientation as vector A, but
has a magnitude that is twice as large. Each of these
represents a different vector, because for two vectors
to be equivalent they must have
both
the same
magnitudes and the same orientations.
Velocity and Acceleration
Let us now give a precise definition of velocity and acceleration. They are
vectors, so we must give a magnitude and a direction for them. The velocity
v
and
the acceleration
a
are defined in the following illustration,
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 Fall '10
 MonicaOyola
 Anthropology, Acceleration, Velocity, Euclidean vector

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