What is the dot product 𝑠̅.𝑝̅ (numerically) and what does this represent?

The vector 𝑝̅=<175,225,303> represents the retail price in Euros of three bicycle models available in a particular store. The vector 𝑠̅=<99,81,72> represents the number of sales of each model in a period. What is the dot product 𝑠̅.𝑝̅ (numerically) and what does this represent?

1 Answer
Evan
May 20, 2018

#barp*bars=(57366)# and it represents the total amount of sales from all #3# bicycle models in a period.

Explanation:

#barp=( (175,225,303)) rarr# retail price of #3# models.

#bars=((99),(81),(72)) rarr# number of sales of each model.

#barp*bars=((175,225,303))((99),(81),(72))#
#color(white)(barp*bars)=(17325+18225+21816)#
#color(white)(barp*bars)=(57366) rarr# total amount of sales from all #3# models.

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