# Vectors Maths Definition

Vectors maths Definition

A vector is a quantity that has properties with magnitude and direction. It is also called a vector quantity.

Forces, velocities, displacements, etc are all vectors. They have magnitude and direction. In other words it has a size and it is going somewhere.

The properties of vectors has also lead it to produce a theory of vectors, which forms an important branch of pure and applied mathematics.

A vector is usually represented by a line. Whose length and direction represents magnitude and direction.

This shows the line of A to B.

It is going in the direction of A to B.

It also has a size, which is measured in x's and y's.

Vectors add up around polygons.

So, AB+BC+CD=AD

In other words to get to point A to D, we can take the short cut A to D.

Alternatively go round the whole world by adding up AB to BC to CD.

Either way, we get the same numerical (algebraic) answer.

Vectors are also expressed in component form relative to some standard basis. For this example AB=(^{1}_{3}) relative to the unit vectors long the x and y axis.

Related pages: Scalar , Magnitude

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