The vector u = 3224, 1429, 2275 gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector v = 1.50, 2.50, 1.90 gives the prices (in dollars) per unit for the three food items. Find the dot product u · v. (Round your answer to two decimal places.) $

Question

Mathematics

Agustin Tanner

19 July, 15:52

The vector u = 3224, 1429, 2275 gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector v = 1.50, 2.50, 1.90 gives the prices (in dollars) per unit for the three food items. Find the dot product u · v. (Round your answer to two decimal places.) $

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Answers (1)

Know the Answer?

Saige Anthony · Answer 1

u. v = $12,731.

Step-by-step explanation:

The dot product between two vectors, a and b, in which

a = (c, d, e)

b = (f, g, h)

Is given by the following formula

a. b = (c, d, e). (f, g, h) = cf + dg + eh.

In this problem, we have that:

u = (3224, 1429, 2275)

v = (1.50, 2.50, 1.90)

So

u. v = (3224, 1429, 2275). (1.50, 2.50, 1.90) = 3224*1.50 + 1429*2.50 + 2275*1.90 = $12,731.