Fix one of your points, and then find the two vectors going from that point to one of the other points.bobmoin said:Hi all,
Am trying to teach myself vector geometry but don't quite understand certain things.
If you are know three points on a plane, how do you find the normal to the plane?
When a vector is perpendicular to a plane, it means that the vector is at a 90-degree angle to the plane, and therefore does not lie within the plane itself.
To determine if a vector is perpendicular to a plane, you can take the dot product of the vector and any two nonparallel vectors in the plane. If the dot product is equal to zero, then the vector is perpendicular to the plane.
Yes, a vector can be perpendicular to more than one plane. This occurs when the vector is parallel to the line of intersection between two planes.
A vector being perpendicular to a plane indicates that the vector is normal, or orthogonal, to the plane. This can be useful in various mathematical and scientific applications, such as determining the direction of forces or calculating surface areas.
To find the equation of a plane that is perpendicular to a given vector, you can use the formula ax + by + cz = d, where a, b, and c are the components of the vector and d is a constant. This will result in a plane that is perpendicular to the given vector.