   Chapter 12.2, Problem 10E

Chapter
Section
Textbook Problem

# Find a vector a with representation given by the directed line segment A B → . Draw A B → and the equivalent representation starting at the origin.10. 4(−5, −1), B(−3, 3)

To determine

To find: The line segment and equivalent representation of AB .

Explanation

Given:

Point A as (5,1) and B as (3,3) .

Definition:

Equivalent representation:

Consider the two points as A(x1,y1) and B(x2,y2) . The vector a with directed line representation AB point is located at a=x2x1,y2y1 .

Here,

x1 and x2 are x-coordinates, and

y1 and y2 are y-coordinates.

Write the expression for equivalent representation point according to definition

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