MozAngeles said:The Attempt at a Solution
Im thinking the solution is to take the cross product of B and C. and that would be the solution??
A unit vector is a vector with a magnitude of 1. It is typically used to represent a direction or orientation in space.
To find a unit vector orthogonal to vector A, you can use the cross product between vector A and any other vector. The resulting vector will be perpendicular to vector A and will have a magnitude of 1 when normalized.
A unit vector that is orthogonal to a plane means that it is perpendicular to every vector within that plane. This can also be thought of as being perpendicular to the normal vector of the plane.
Yes, you can find a unit vector orthogonal to a plane defined by two vectors by taking the cross product of the two vectors. The resulting vector will be perpendicular to both of the original vectors and will have a magnitude of 1 when normalized.
Finding a unit vector orthogonal to a plane and finding the normal vector of the plane are essentially the same thing. The unit vector will be perpendicular to every vector within the plane, and therefore, will also be perpendicular to the normal vector of the plane.