What is the direction of the vector (0, -6)?

The direction of the vector (0, -6) is straight down along the negative y-axis.

In more detail, a vector is a quantity that has both magnitude (length) and direction. The vector (0, -6) can be broken down into its components: 0 in the x-direction and -6 in the y-direction. This means that the vector does not move left or right at all (since the x-component is 0), but it moves 6 units downwards (since the y-component is -6).

To visualise this, imagine starting at the origin of a graph (the point (0, 0)). From there, you would move 0 units left or right, so you stay on the y-axis. Then, you move 6 units downwards because the y-component is -6. This movement directly downwards along the y-axis indicates the direction of the vector.

In terms of angles, the direction of the vector (0, -6) is 270 degrees if you measure it counterclockwise from the positive x-axis. This is because a full circle is 360 degrees, and moving straight down from the positive x-axis (which is 0 degrees) takes you three-quarters of the way around the circle.

Understanding the direction of vectors is crucial in many areas of maths and physics, as it helps in analysing forces, movements, and other vector quantities.