In mathematics the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors) and returns a single number.In mathematics matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field or more generally in a ring or even a semiring.Introduction In this lesson we will examine a combination of vectors known as the cross product. Vector components in 3 dimensions will be combined in such a way as to result in another vector
Introduction In this lesson we will examine a combination of vectors known as the dot product. Vector components will be combined in such a way as to result in a scalar (number).This is not an easy formula to remember. There are two ways to derive this formula. Both of them use the fact that the cross product is really the determinant of a 3x3 matrix.Vector analysis a branch of mathematics that deals with quantities that have both magnitude and direction. Some physical and geometric quantities called scalars can be fully defined by specifying their magnitude in suitable units of measure.
Notice that the dot product of two vectors is a number and not a vector. For 3 dimensional vectors we define the dot product similarlyDefinition of a vector. A vector is an object that has both a magnitude and a direction. Geometrically we can picture a vector as a directed line segment whose length is the magnitude of the vector and with an arrow indicating the direction.GoLearningBus is WAGmobs SaaS product for School College and Professional learning and training. Learn more at GoLearningBus.Com. GoLearningBus