Home learning focus
Learn about vectors and how to describe them.
This lesson includes:
- a learning summary
- one activity sheet
Read page 1 of our 'Vectors' Bitesize revision guide to:
- understand what a vector is
- see some examples of vectors
A vector describes a movement from one point to another. A vector quantity has both direction and magnitude. The vector can also be represented by a column matrix; this is referred to as a column vector.
A vector can be represented by a line segment labelled with an arrow.
A vector between two points, A and B, can be described in three ways, using:
- an arrow
- bold font
- an underscore.
The vector can also be represented by a column matrix; this is referred to as a column vector.
x is the movement horizontally and y is the movement vertically.
A positive value of x means a movement to the right and a negative value of x means a movement to the left.
A positive value of y means a movement upwards and a negative value of y means a movement downwards.
Vectors are equal if they have the same magnitude and direction regardless of where they are.
A negative vector has the same magnitude but the opposite direction.
Vector -k is the same as travelling backwards down the vector k.
A quantity that has magnitude but no particular direction is described as scalar.
A scalar is a quantity that requires only a size, for example, distance travelled is 20 m.
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