Resultant Vector From The Cross Product Of Two Vectors. The cross product of two vectors is another perpendicular vector to the two vectors. The vector product of a and b is always perpendicular to both a and b.
See how it changes for different angles. And it all happens in 3 dimensions. The cross product of two vectors a and b is a vector c length magnitude of which numerically equals the area of the parallelogram based on vectors a and b as sides.
There are some points that you need to remember when using the cross product.
Cross product vector product of vector a by the vector b is the vector c the length of which is numerically equal to the area of the parallelogram constructed on the vectors a and b perpendicular to the plane of this vectors and the direction so that the smallest rotation from a to b around the vector c was carried out counter-clockwise when viewed from the terminal point of c. Orthogonal Vectors When you take the cross product of two vectors a and b The resultant vector a x b is orthogonal to BOTH a and b. Cross product of two vectors is always a vector quantity. Since two similar vectors tend to produce a degenerate parallelogram with no area the cross product vectors of any vector with itself is zero that is A A is equal to 0.