Vectors in Baking and Cooking

Vectors can be used as a way to represent ratio and proportion. This is a list of possible ways you can use the ratios are:

  • Converting temperature from Celsius to Fahrenheit and vice versa
  • Converting sizes and amounts (eg cups to mL)
  • Cooking/baking in batches
  • Cooking time with respect to its size and/or weight
  • Estimated cost of a dish
  • Amount of serving

For example, we the ingredients of a recipe that can yield 30 cookies:

(C)1/2 cup (1 stick) unsalted butter
(D)3/4 cup packed dark brown sugar
(E)3/4 cup sugar
(F)2 large eggs
(G)1 teaspoon pure vanilla extract
(H)1 (12-ounce) bag semisweet chocolate chips, or chunks
(I)2 1/4 cups all-purpose flour
(J)3/4 teaspoon baking soda
(K)1 teaspoon fine salt

Let’s say that these amount of cookies can feed 3 people. You can represent the ratio of number of people fed(A), amount of cookies(B), and the ingredients(C-K) in the set of R^11 where:


with the values:


If you want enough cookies to feed 30 people, you’d have to multiply this ratio by 10.

Not following the correct ratio might end up: (1) not being edible, (2) not having enough cookies, and (3) not being able to feed everyone and causing World War 10.