Maths Calculus Graphics Math games fr|en|es|pt|de DOT PRODUCT CALCULATOR = Calculate dot_product × The dot product calculator allows the calculation of the dot product of two vectors online from their coordinates. dot_product( [1;5];[1;3] [ ), returns 16, dot_product( [1;5;3];[1;3;3] [ ), returns 25 Dot product, online calculus Summary : The dot product calculator allows the calculation of the dot product of two vectors online from their coordinates. dot_product online Description : Analytical definition of the scalar product It is possible to calculate the dot product of two vectors from their coordinates. In the plan, in an orthonormal system (O, i ⃗ , j ⃗ ) ( , u ⃗ u is a vector of coordinates (x,y) and v ⃗ v is a vector of coordinates (x',y'), the dot product is given by the formula xx'+yy'=0. This definition can be extended to space. In a direct orthonormal system (O, i ⃗ , j ⃗ , k ⃗ ) ( , u ⃗ u is a vector of coordinates (x,y,z) and v ⃗ v is a vector of coordinates (x',y',z'), the dot product is given by the formula xx'+yy'+zz'=0. Property If u ⃗ u and v ⃗ v are orthogonal, then the dot product is zero. Online calculation of the scalar product. The dot product calculator allows to calculate the dot product of two vectors from their coordinates. The calculation of the scalar product online can be done with numbers or literal expressions. Dot product calculation from numeric coordinates. To calculate the dot product of the following vectors v ⃗ v [1;5] and u ⃗ u [1;3], enter dot_product( [1;5];[1;3] [ ). After calculation the result 16 is returned. Dot product calculation from literal coordinates. To calculate the dot product of the following vectors v ⃗ v [a;b−1] [ and u ⃗ u [2a; a 2 ] [ , enter dot_product( [a;b−1];[2a; a 2 ] [ ). After calculation the result − a 2 + b⋅a 2 +2⋅ a 2 - is returned. The dot product calculator allows the calculation of the dot product of two vectors online from their coordinates. Syntax : dot_product(vector;vector) Examples : dot_product( [1;5];[1;3] [ ), returns 16, dot_product( [1;5;3];[1;3;3] [ ), returns 25 Calculate online with dot_product (Dot product calculator) See also Cross product calculator : cross_product. The vector calculator allows the calculation of the cross product of two vectors online from their coordinates. Dot product calculator : dot_product. The dot product calculator allows the calculation of the dot product of two vectors online from their coordinates. Product of a vector by a number : product_vector_number. The vector calculator allows to calculate the product of a vector by a number online. Calculus scalar triple product : scalar_triple_product. The scalar_triple_product function allows online calculation of scalar triple product. Vector calculator : vector_calculator. The vector calculator allows to do calculations with vectors using coordinates. Calculating the coordinates of a vector from two points. : vector_coordinates. The vector calculator allows the calculation of the coordinates of a vector from the coordinates of two points online. Calculating the difference of two vectors : vector_difference. The vector_difference function is used to calculate the difference of two vectors online. Calculating the norm of a vector : vector_norm. The vector calculator allows the calculation of the norm of a vector online. Calculating the sum of two vectors : vector_sum. The vector calculator allows the calculation of the sum of two vectors online. 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