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Let a = 2i + 9j, b = –4i + 5j, c = i – 3j, and d = 14j where i and j are unit vectors. what is (a – b) – (2d – c) in terms of i and j? 5i – 27j 5i + 35j 7i – 27j 7i + 39j

Respuesta :

facundo3141592

By taking the difference between the given vectors, we will see that:

(a – b) – (2d – c) = 7i - 27j

How to operate with vectors?

Here we have the vectors:

  • a =  2i + 9j = (2, 9)
  • b = –4i + 5j = (-4, 5)
  • c = i – 3j = (1, -3)
  • d = 14j = (0, 14)

Where the right part is in component form.

And we want to find (a – b) – (2d – c), let's solve this in parts:

(a - b) = (2, 9) -  (-4, 5) = (2 - (-4), 9 - 5) = (6, 4) = 6i + 4j

(2d - c) = 2*(0, 14) - (1, -3) = (-1, 28 - (-3)) = (-1, 31) = -i + 31j

Then:

(a – b) – (2d – c) = (6, 4) -  (-1, 31) = (6 - (-1), 4 - 31) = (7, -27) = 7i - 27j

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

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