![]() ![]() ![]() Notice that the magnitude of the cross product is always the same. The × symbol is used between the original vectors. As you change these vectors, observe how the cross product (the vector in red),, changes. We can understand this with an example that if we have two vectors lying in the X-Y plane, then their cross product will give a resultant vector in the direction of the Z-axis, which is perpendicular to the XY plane. If A and B are two independent vectors, then the result of the cross product of these two vectors (Ax B) is perpendicular to both the vectors and normal to the plane that contains both the vectors. The resultant vector is perpendicular to the plane containing the two given vectors. Deningthismethod of multiplication is not quite as straightforward, and its properties are more complicated. When two vectors are multiplied with each other and the product of the vectors is also a vector quantity, then the resultant vector is called the cross product of two vectors or the vector product. The Cross Product Motivation Nowit’stimetotalkaboutthesecondwayofmultiplying vectors: thecrossproduct. We can multiply two or more vectors by cross product and dot product. A vector has both magnitude and direction. Cross product is a form of vector multiplication, performed between two vectors of different nature or kinds. ![]()
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