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Solution to Problem4


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Problem4:

Show that the line
(x-1)/3 = -y/2 = z+1
and the plane x + 2y + z = 1 are parallel.

SOLUTION:


The position vector u, velocity vector v for the line are:

> u := [1,0,-1]: v := [3,-2,1]:

A normal to the plane is:

> n := [1,2,1]:

We have,

> dotprod(v,n);

                                       0

so the line is either parallel to the plane or the line is contained in the plane. But u doesn't belong to the plane so we are done.


Link to the commands in this file
Carlos Rodriguez <carlos@math.albany.edu>
Last modified: Mon Feb 7 15:57:42 EST 2000