The vectors are listed below:
- <u>v</u> = [- 10 / 13, 24 / 13]
- <u>v</u> = [- 5 / 13, 12 / 13]
- <u>v</u> = [50 / 13, - 120 / 13]
<h3>How to derive the expressions of vectors</h3>
Vectors are characterized by magnitude and direction. The magnitude is a scalar and the direction by a ordered pair, whose formula is shown below:
<u>v</u> = k · <u>u</u>
Where <u>u</u> is a unit vector, that is, a vector of length 1.
Now we proceed to determine each vector:
a) The equation of the vector:
r = √[(- 5)² + 12²]
r = 13
k = 2
<u>v</u> = (2 / 13) · [- 5, 12]
<u>v</u> = [- 10 / 13, 24 / 13]
b) The equation of the vector:
<u>v</u> = (1 / 13) · [- 5, 12]
<u>v</u> = [- 5 / 13, 12 / 13]
c) The equation of the vector:
<u>v</u> = (- 10 / 13) · [- 5, 12]
<u>v</u> = [50 / 13, - 120 / 13]
To learn more on vectors: brainly.com/question/4579006
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