**Component Form and Magnitude of Vectors**To calculate the component form of vector \(\overrightarrow{AB}\), and to find its magnitude \(|AB|\) algebraically, follow these steps.### Problem 3:Given points:- \( A(-2, -1) \)- \( B(6, -2) \)1. **Component Form**: \[ \overrightarrow{AB} = (x_2 - x_1, y_2 - y_1) = (6 - (-2), -2 - (-1)) = (8, -1) \]2. **Magnitude**: \[ |AB| = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(6 - (-2))^2 + (-2 - (-1))^2} \] \[ |AB| = \sqrt{8^2 + (-1)^2} = \sqrt{64 + 1} = \sqrt{65} \]### Problem 4:Given points:- \( A(8, 6) \)- \( B(-4, 11) \)1. **Component Form**: \[ \overrightarrow{AB} = (x_2 - x_1, y_2 - y_1) = (-4 - 8, 11 - 6) = (-12, 5) \]2. **Magnitude**: \[ |AB| = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-4 - 8)^2 + (11 - 6)^2} \] \[ |AB| = \sqrt{(-12)^2 + 5^2} = \sqrt{144 + 25} = \sqrt{169} = 13 \]Use these calculations to comprehend the component form and magnitude of vectors in a coordinate plane.

The component form of AB→ with Ax1, y1 and Bx2, y2 is given by x2-x1, y2-y1 and AB→ = x2-x12 +…

Answered: Give the component form of AB and find…

Give the component form of AB and find AB algebraically. 3. A(-2, -1) B(6, -2) 4. A(8, 6) B(-4, 11)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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