Vector Equation for 3-Dimensional Lines
Unlike 2D lines which have the equation
, 3-Dimensional lines can be expressed as vector functions in the form
where t is a variable. Here is the visual representation of the vector
There are 2 other alternate ways to express a 3-Dimensional line.
From the equation above, we can rearrange the vector equation so that:
Then we can see that:
Hence these set of equations of the Parametric Equation
of the equation of the 3D line.
are non-zero. Then rearranging the set of equations from above gives us:
Hence we have our symmetric equation
of the equation of the 3D line: