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 Dot Product gives a number as an answer (a scalar, not a vector). The Dot Product is written using a central dot: a Â· b. This means the Dot Product of a and b. We can calculate the Dot Product of two vectors this way: a Â· b = |a| Ã |b| Ã cos(Î¸) Where: |a| is the magnitude (length) of vector a. |b| is the magnitude (length) of vector b. Î¸ is the angle between a and b. So we multiply the length of a times the length of b, then multiply by the cosine of the angle between a and b.