bomba923
Nov6-05, 01:56 AM
Ok...well, here goes:
Let's say we draw a slope-field for
\frac{{dy}}{{dx}} = \frac{x}{{k - y + \sqrt {x^2 + \left( {k - y} \right)^2 } }}
---------------------------------------
Now, let's say a ray of light traveling in the direction \left\langle {0, - 1} \right\rangle "hits" one of the slope segments we drew. However, each "slope segment" is a actually a short planar mirror!!
And so,
*Regardless of which segment this light ray strikes, will the light ray be reflected through the point (0,k) ?
(assuming this ray strikes one and only one "mirror"/slope-segment)
Let's say we draw a slope-field for
\frac{{dy}}{{dx}} = \frac{x}{{k - y + \sqrt {x^2 + \left( {k - y} \right)^2 } }}
---------------------------------------
Now, let's say a ray of light traveling in the direction \left\langle {0, - 1} \right\rangle "hits" one of the slope segments we drew. However, each "slope segment" is a actually a short planar mirror!!
And so,
*Regardless of which segment this light ray strikes, will the light ray be reflected through the point (0,k) ?
(assuming this ray strikes one and only one "mirror"/slope-segment)