A vector perpendicular to a plane is a vector that forms a 90-degree angle with all vectors in the plane. This means that the vector is at a 90-degree angle to the surface of the plane.
To find a vector that is perpendicular to a plane, you can use the cross product of two non-parallel vectors in the plane. The resulting vector will be perpendicular to both of the original vectors and therefore perpendicular to the plane.
Yes, there can be an infinite number of vectors that are perpendicular to a plane. This is because any vector that is parallel to the plane's surface can be rotated to be perpendicular, resulting in an infinite number of possibilities.
A normal vector is a vector that is perpendicular to a plane and points directly away from the plane's surface. Therefore, a vector perpendicular to a plane can also be called a normal vector.
Finding a vector perpendicular to a plane is useful in many applications, such as calculating the normal force in physics or determining the direction of motion in engineering. It is also a fundamental concept in linear algebra and vector calculus.