Question

What is the result of vector cross product?

Answer 1

Vector cross product: It is defined as the binary operation on two vectors in $3$ dimensional space. It results in a vector that is perpendicular to both vectors.

Mathematically represent as $\overrightarrow{A}\times \overrightarrow{B}=\left|\overrightarrow{A}\right|\left|\overrightarrow{B}\right|\sin \theta \hat{n}$ where $\overrightarrow{A}$and $\overrightarrow{B}$ are two vectors, $\left|\overrightarrow{A}\right|$and $\left|\overrightarrow{B}\right|$are the magnitudes of the vectors, $\theta$ is the angle between two vectors, $\hat{n}$ is the unit vector perpendicular to the plane containing the given two vectors, its the direction given by the right-hand rule.

Thus, the result of cross product vector is always a vector.