   Chapter 11.1, Problem 4E

Chapter
Section
Textbook Problem

# Sketching a Vector In Exercises 1-4, (a) find the component form of the vector v and (b) sketch the vector with its initial point at the origin. (a)

To determine

To calculate: The component form of the vector v for the given points (2,1) and (1,3).

Explanation

Given:

Initial points,(2,1) and final point,(1,3)

Formula used:

If P(p1,p2) and Q(q1,q2) are the initial and terminal points of a directed line segment, then the component form of the vector v represented by PQ is,

v1,v2=q1p1,q2p2

Calculation:

Let,

P(p1,p2)=(2,1)

And,

Q(q1,q2)=(1,3</

(b)

To determine

To graph: The sketch of the vector v=3,2 with its initial points at origin.

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