Vector Equation of a Straight Line
Drag the red dots to change the positions of A and B in the applet.
The vector equation of a straight line passing through a point A and parallel to a vector OB is:
The position vector of any point P on the line will be given by:
| —> | | —> | | —> |
| OP | = | OA | + t | OB | for some t . |
The vector equation of a straight line passing through 2 points A and B is:
| | —> | | —> | | —> |
| r | = | OA | + t ( | OB | - | OA ) |
| ~ |
The position vector of any point P on the line will be given by:
| → | | —> | | —> | | —> |
| OP | = | OA | + t ( | OB | - | OA ) | for some t . |
Right-click here to download this page and the Java Class File.
Back to H2 Mathematics Homepage