ttmarkstt
ttmarkstt ttmarkstt
  • 26-02-2018
  • Mathematics
contestada

Find a ⋅ b. a = 4i - 4j, b = 4i + 5j

Respuesta :

mathmate
mathmate mathmate
  • 26-02-2018
a=<4,-4>
b=<4,5>

a.b =4*4-4*5=16-20=-4
Answer Link
carlosego
carlosego carlosego
  • 12-02-2019

For this case we have the following vectors:

[tex]a = 4i - 4j\\b = 4i + 5j[/tex]

We must find the product point of both vectors.

To do this, we multiply component by component and add the results.

We have then:

[tex]a.b = (4) (4) + (-4) (5)\\a.b = 16 -20\\a.b = -4[/tex]

Answer:

The point product of both vectors is given by:

[tex]a.b = -4[/tex]

Answer Link

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