3D coordinates
We saw previously how to represent 2D vectors on the \(xy\) plane.
Now, we will extend this to look at 3D vectors using the \(xyz\) plane.
3D coordinates are used, for example, by air traffic controllers to find the location of a plane by its height as well as its grid reference.
The vector OP has initial point at the origin O (0, 0, 0) and terminal point at P (2, 3, 5). We can draw the vector OP as follows:
Remember that 3D coordinates take the form \((x,y,z)\)
More guides on this topic
- Determine the gradient of a straight line
- Circle geometry
- Calculating the volume of a standard solid
- Applying Pythagoras Theorem
- Applying the properties of shapes to determine an angle
- Using similarity
- Working with two-dimensional vectors
- Using vector components
- Calculating the magnitude of a vector
- An Approximate History of Co-ordinates