Question

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

Answer 1

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.

Answer 2

Answer: 17.09

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=√((x_2-x_1)^2+(y_2-y_1)^2)`

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

`AB=√((7-(-9))^2+(3-9)^2)\\\\=√((7+9)^2+(-6)^2)\\\\=√((16^2)+36) \\\\=√(256+36) \\\\=√(292)=17.0880074906\approx17.09`

Therefore, the magnitude of Ab = 17.09