garciajustice garciajustice
  • 15-07-2020
  • Mathematics
contestada

Evaluate the dot product of (7, 5) and (- 5, 4)

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 20-07-2020

Answer:

The dot product of (7,5) and (-5,4) is -15

Step-by-step explanation:

Given

(7,5) and (-5,4)

Required

Determine the dot product

Dot product is calculated using the following formula;

[tex]a.b = {a_1b_1+a_2b_2+...+a_nb_n}[/tex]

Let a = (7,5) and b = (-5,4);

The above formula becomes

[tex]a.b = {7*-5+5*4}[/tex]

[tex]a.b = {-35+20}[/tex]

[tex]a.b = {-15}[/tex]

Hence, the dot product of (7,5) and (-5,4) is -15

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