Determine whether a point is inside a square

Asked Mar 07 '17 at 07:38

Active Mar 07 '17 at 07:38

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I have a square given by the points $A(3,4,0)$, $B(-1,6,4)$, $C(-5,2,2)$ and $D(-1,0,2)$. I have shown that these points lie in the plane $x-2y+2z=-5$ and that they form the vertices of a square in that plane.
I need to determine whether the foot of the normal $Q$ closest to the point $P(-1,7,5)$ is inside or outside this square.
I found the foot to be $Q(-1,7,5)$ but I am not sure of a method determining whether is inside the square or not. How can I determine this?

Thanks in advance.

asked Mar 07 '17 at 07:38

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http://math.stackexchange.com/questions/190111/how-to-check-if-a-point-is-inside-a-rectangle – lab bhattacharjee Mar 07 '17 at 07:41
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Possible duplicate of How to check if a point is inside a rectangle? – skyking Mar 07 '17 at 07:55

Determine whether a point is inside a square

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