Other methods of writing the same line can be used. By solving, the same line written symmetrically is

or parametrically

Looking again at the equations the plane equation is:

Note that the vector is the

Note that is a point on the line and the vector is parallel to the line. Finally the parametric line is:

Knowing these facts and knowing which form to work with will help in solving three-dimensional problems.

cp /math/calclab/MA1024/lines_and_planes.mws My_Documents

Once you have read through the exercises, start up Maple, load the worksheet, and go through it carefully. Then you can start working on the exercises.

- Find the distance from the point to the plane .

Remember that distance is always considered the perpendicular path. As a hint first find the intersection of this perpendicular line to the plane and then use the distance formula.

Plot the perpedicular line and the plane. - Find the line parallel to the intersection of the two planes and and passing through the point .

As a hint start with the normal vectors to the planes.

Plot the two planes and the parallel line.

2006-10-11