# Dot product in r

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To construct a vector that is perpendicular to another given vector, you can use techniques based on the dot-product and cross-product of vectors. The dot-product of the vectors A = (a1, a2, a3) and B = (b1, b2, b3) is equal to the sum of the products of the corresponding components: A∙B = a1*b2 + a2*b2 + a3*b3. The Cross Product. Besides the usual addition of vectors and multiplication of vectors by scalars, there are also two types of multiplication of vectors by other vectors. One type, the dot product, is a scalar product; the result of the dot product of two vectors is a scalar. The dot product is the sum of products of the vector elements, so for two 2D vectors v1=(dx1,dy1) and v2=(dx2,dy2) the Dot Product is: Dot(v1,v2)=(dx1*dx2)+(dy1*dy2) If the two vectors are both Unit Vectors (length=1) then the Dot Product will vary from -1 to +1 inclusive (written [-1,1]). If the Dot Product is +1,... The Cross Product. Besides the usual addition of vectors and multiplication of vectors by scalars, there are also two types of multiplication of vectors by other vectors. One type, the dot product, is a scalar product; the result of the dot product of two vectors is a scalar. The dot product of the latent position vectors should be in the [0,1] interval, otherwise a warning is given. For negative dot products, no edges are added; dot products that are larger than one always add an edge.