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Is there any quick way to find the intersection point between Plane and Ray?

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  • \$\begingroup\$ Try googling "line plane intersection" \$\endgroup\$ – brandon Feb 1 '12 at 14:27
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    \$\begingroup\$ An intersection between a Vector3 and a Plane doesn't make sense. You can find the intersection between a Plane and a line segment, a ray, or a line, but all of these require not one, but two Vector3's to be represented. Or you can check if a certain Point lies on the Plane or not. Which of these are you trying to achieve? \$\endgroup\$ – David Gouveia Feb 1 '12 at 14:30
  • \$\begingroup\$ i am using the Vector3 as a Direction , Mmm it should be a Ray not a Vector3 \$\endgroup\$ – MhdSyrwan Feb 1 '12 at 14:38
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    \$\begingroup\$ realtimerendering.com/intersections.html \$\endgroup\$ – Tili Feb 1 '12 at 14:44
  • \$\begingroup\$ long story short, study linear algebra \$\endgroup\$ – brandon Feb 1 '12 at 14:51
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Try the following method which relies on XNA's built in Math API to intersect a Ray and a Plane and get back the point of intersection:

Vector3? GetRayPlaneIntersectionPoint(Ray ray, Plane plane)
{
    float? distance = ray.Intersects(plane);
    return distance.HasValue ? ray.Position + ray.Direction * distance.Value : null;
}

The method returns null if there's no intersection, or the point of intersection otherwise.

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  • \$\begingroup\$ thanks very much :) , i thought it returns just a boolean \$\endgroup\$ – MhdSyrwan Feb 1 '12 at 15:18

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