1. The dot product vwon Rnis a symmetric Bilinear form

2. So the dot product of this vector and this vector is 19.

3. The Commutative and distributive laws hold for the dot product of vectors in ℝ n

4. The absolute value of the dot product of our vectors is less than the product of the two vectors lengths.

5. The layer Convolves the input by moving the filters along the input vertically and horizontally, computing the dot product of the weights and the input, and then adding a bias term

6. Now let us try to improve the definitions of tangent, normal, Binormal: We may assume that for expressions that contain trigonometric functions both the dot product and the cross product will frequently yield expressions that contain powers of trigonometric functions.

7. J is the total current density (in Amperes per square metre, A·m −2),; J f is the free current density only, ∮ C is the closed line integral around the closed curve C, ∬ S denotes a 2-D surface integral over S enclosed by C, · is the vector dot product, dl is an infinitesimal element (a differential) of the curve C (i.e