Question

Identify the ordered pair that represents the vector from A(1,6) to B(2, -3) and the magnitude of AB-

a. 2, -4) 189 * 11.0554
C. (2. - 10). 184 x 10.0554
b. -10,3). 578 * 7.0554
d. (1, -9), 182 * 9.0854
Please select the best answer from the choices provided

Answer 1

Vector & Magnitude is (1,-9) & 9.0854 respectively! Correct option is

D) (1, -9), 182 * 9.0854

Explanation:

Here we have , We have to Identify the ordered pair that represents the vector from A(1,6) to B(2, -3) and the magnitude of AB . Let's find out:

Vector that represents from A(1,6) to B(2, -3) is given by :

⇒
`AB = (2-1) i + (-3-6)j`

⇒
`AB = i -9j` or ,

⇒
`AB = (1,-9)`

Now , Magnitude of vector AB is :

⇒
`√((x_2-x_1)^2+(y_2-y_1)^2)`

⇒
`√((2-1)^2+(-3-6)^2)`

⇒
`√((1)^2+(-9)^2)`

⇒
`√(82)`

⇒
`9.0854`

Therefore , Vector & Magnitude is (1,-9) & 9.0854 respectively! Correct option is D) (1, -9), 182 * 9.0854