Table of Contents
Vector Product
The vector product, also known as the cross product, is a mathematical operation that takes two vectors and produces a third vector. The vector product is denoted by the symbol ×, and is defined as follows:
Where A and B are vectors, and c is a vector.
The vector product is associative, meaning that the order of the vectors does not affect the result:
A × (B × C) = (A × B) × C.
The vector product is also commutative:
A × B = B × A.
The vector product is distributive:
A × (B + C) = (A × B) + (A × C).
The vector product is zero if and only if the vectors are parallel:
A × B = 0 if and only if A = B.
The vector product is perpendicular to both of the vectors that are involved in it:
A × B is perpendicular to both A and B.
Define Vector Product
A vector product is a vector in mathematics that is defined as the cross product of two other vectors. This vector is perpendicular to both of the original vectors and is determined by the magnitudes of the vectors and the angle between them. The vector product is a useful tool for solving problems in physics and engineering
Properties Of Vector Product
The vector product is a mathematical operation that takes two vectors and produces a third vector. The vector product is also called the cross product.
The vector product is defined as follows:
The vector product is distributive.
The vector product is associative.
The vector product is commutative.
The vector product is Lorentz invariant.
The vector product is a binary operation.
Cross Vector Product Of Two Parallel Vectors
A cross product of two vectors is a vector that is perpendicular to both of the input vectors. This vector is found by taking the product of the length of the first vector and the sin of the angle between the two vectors, and then multiplying that by the length of the second vector.
Cross Vector Product Of Two Parallel Vectors In Cartesian Form
The cross vector product of two parallel vectors is a vector perpendicular to both of the original vectors. It is calculated by multiplying the magnitude of the first vector by the magnitude of the second vector and then dividing by the product of their magnitudes
