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High School Math Calculus Precalculus with Limits: A Graphing Approach

The component form of the vector v .

The component form of the vector v .

Precalculus with Limits: A Graphing Approach

Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

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Question

Chapter 10.2, Problem 8E

(a)

To determine

To find: The component form of the vector v .

(a)

Expert Solution

Answer to Problem 8E

Explanation of Solution

Given information:

The given figure is,

Precalculus with Limits: A Graphing Approach, Chapter 10.2, Problem 8E , additional homework tip 1

Calculation:

Consider the form of vector v having initial point (p1,p2,p3) and terminal point (q1,q2,q3) .

v=〈q1−p1,q2−p2,q3−q3〉 .

Consider the graph of the component.

The graph of the component is shown in figure.

Precalculus with Limits: A Graphing Approach, Chapter 10.2, Problem 8E , additional homework tip 2

Figure-(1)

From the graph it can be said that the initial point of a vector v is

(p1,p2,p3)=(5,−3,1)

The finial point of a vector v is

(q1,q2,q3)=(5,3,1)

Hence,

v=〈q1−p1,q2−p2,q3−q3〉=〈5−5,−3−3,1−1〉=〈0,−6,0〉

Therefore, the component form of the vector v is 〈0,−6,0〉 .

(b)

To determine

To sketch: The vector with its initial point at the origin.

(b)

Expert Solution

Explanation of Solution

Given information:

The given sketch is.

Precalculus with Limits: A Graphing Approach, Chapter 10.2, Problem 8E , additional homework tip 3

Graph:

Consider the graph of the initial point.

The graph joining the initial point (p1,p2,p3)=(5,−3,1) and the origin (0,0,0) shown in figure −(1).

Precalculus with Limits: A Graphing Approach, Chapter 10.2, Problem 8E , additional homework tip 4

Figure −(1)

Interpretation:

The graph of the given initial point is shown in figure-(1).

Chapter 10.2, Problem 7E

Chapter 10.2, Problem 9E

Chapter 10 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - Prob. 51E Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 57E Ch. 10.1 - Prob. 58E Ch. 10.1 - 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