Could someone kindly explain the concept behind this statement " Vector A is perpendicular to both Vector B and Vector C. So Vector A is parallel to VectorB x Vector C "
Is there any rule like if a vector is perpendicular to two other vectors, then it is parallel to their products?
On
It is the definition of the cross product in combination with three dimensional space.
In mathematics, the cross product or vector product is a binary operation on two vectors in three-dimensional space and is denoted by A×B (where A and B are two given vectors). It results in a vector that is perpendicular to both and therefore normal to the plane containing them. It has many applications in mathematics, physics, and engineering.
In a three dimensional space three vectors perpendicular to each other define the space. All vectors are triplets on the scalar values of these axis.
Yes, there is a rule. You must now the Right Hand Rule.
This rule allows you to determine which direction will the resulting vector cross product between two vectors, for a right-handed coordinate system. Right-handed coordinate systems are the most widespread and used.
This simple rule, has many practical applications, for example, determine the direction of a magnetic field according to the direction of the current that generates it.