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### Vector Reference     # Astonishing Scalar Product Of Two Vectors Images Fdeafcebd

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Cross Product. The Dot Product gives a scalar (ordinary number) answer and is sometimes called the scalar product. But there is also the Cross Product which gives a vector as an answer and is sometimes called the vector product.The scalar product and the vector product are the two ways of multiplying vectors which see the most application in physics and astronomy. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other and multiplying it Watch vector So this is just going to be a scalar right there. So in the dot product you multiply two vectors and you end up with a scalar value. Let me show you a couple of examples just in case this was a little bit too abstract. So lets say that we take the dot product of the vector 2 5 and were going to dot that with the vector 7 1.

Scalar product of vectors or dot product vector product of vectors or cross product The difference between both the methods is just that using the first method we get a scalar value as resultant and using the second technique the resultant obtained is also a vector in nature.In Clifford Algebra the dot product is defined as (the average of) ab ba i.e. the sum of a number and its reverse where (as in Quaternions) ab -(ba) which cancels all directional components leaving only the scalar whereas the wedge product (corresponding to the cross product) is defined as (the average of) ab ba The first product creates a scalar (ordinary number with magnitude but no direction) out of two vectors and is therefore called a scalar product or (because of the multiplication symbol chosen) a dot product. A scalar is often thought of as being a vectorgth (magnitude) on a single line.