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Nonamiya [84]
3 years ago
8

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

Mathematics
2 answers:
expeople1 [14]3 years ago
8 0

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 (x_1,y_1) and  (x_2,y_2)  is given by  using distance formula:-

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

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

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

Therefore, the magnitude of Ab = 17.09

Viefleur [7K]3 years ago
6 0
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.
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