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.
Let's first define the scalar (or dot) product. (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. For the case of (1), the scalar product will never be negative due to the magnitudes of the vectors since the magnitude is always positive.