Diabetes happens when one of the following occurs: 1  When the pancreas does not produce any insulin. 2  When the pancreas produces very little insulin. 3  When the body does not respond appropriately to insulin, a condition called insulin resistance..
Vector Calculus: Understanding the Dot Product. Think of the dot product as directional multiplication. Multiplication goes beyond repeated counting: it's applying the essence of one item to another. Complex multiplication combines rotations.
The unbolded letters will be the magnitude, or scalar quantities, of the vectors. Let's first define the scalar (or dot) product. The scalar product of two vectors can either defined as: (1) A #*# B = AB#cos(theta)# with theta being the angle between the two vectors and A and B being the magnitudes of vectors A and B. or.