Question

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

Answer 1

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

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

Step-by-step 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 :

⇒ $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $\sqrt{(2-1)^2+(-3-6)^2}$

⇒ $\sqrt{(1)^2+(-9)^2}$

⇒ $\sqrt{82}$

⇒ $9.0854$

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