Finding Solutions for the Intersection of a Plane and Line

[lukepeterpaul]

Homework Statement

hi, i have been given a question and would appreciate help in interpreting it.
given a plane, state the problem of finding points on the intersection of the plane and the line in the form Ax=d, where A is a 3by3 matrix, x and d are vectors.

Homework Equations

The Attempt at a Solution

i don't understand the question...
i m guessing that it is referring to the specific circumstance when matrix A has rank 2...??
in fact the question then proceeds to "find and interpret the solutions"...

 

[micromass]

Well, I interpret the question this way: a plane can be described by an equation. A line can be describe by a system of equations.

Now, the line and the plane intersect in a point. This point can be found by a system of equations (which are of course closely related to the equations above). This system of equations can be written under the form Ax=d. So, you need to find a matrix A and a matrix d, such that the intersection of the plane and the line is the solution to Ax=d.

Hope that was helpful...

 

[lukepeterpaul]

cheers :)