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identify the ordered pair that represents the vector from a(-9 9) to b(7 3) and the magnitude of AB

Respuesta :

altavistard
Moving from a to b, the x component  of the desired vector is 7-(-9) = 16, and
the y component is 3-9 = -6.

So the vector from a to b is <16,-6>, and the magnitude is

sqrt(16^2 + (-6)^2 ), applying the Pythagorean Theorem.
JeanaShupp

Answer: 17.09

Step-by-step explanation:

Given:  The ordered pair that represents the vector from A(-9 9) to B(7 3).

The length of vector from points [tex](x_1,y_1)[/tex] and  [tex](x_2,y_2)[/tex]  is given by  using distance formula:-

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now, the length of vector AB is given by:-

[tex]AB=\sqrt{(7-(-9))^2+(3-9)^2}\\\\=\sqrt{(7+9)^2+(-6)^2}\\\\=\sqrt{(16^2)+36} \\\\=\sqrt{256+36} \\\\=\sqrt{292}=17.0880074906\approx17.09[/tex]

Therefore, the magnitude of Ab = 17.09

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