   Chapter 11.2, Problem 48E

Chapter
Section
Textbook Problem

# Finding the Component Form of a Vector in Space In Exercises 45-48, (a) find the component form of the vector v, (b) write the vector using standard unit vector notation, and (c) Sketch the vector with its initial point at the origin. (a)

To determine

To calculate: The component form of the vector v with the help of the graph provided in the question.

Explanation

Given:

Refer to the graph provided in the question.

Formula used:

The component form for any vector x directed by a line segment with end points P=(p1,p2,p3) and Q=(q1,q2,q3) is:

x=v1,v2,v3=q1p1,q2p2,q3p3

Calculation:

Refer to the graph provided in question to find out the endpoints, that are: (2,3,4),(2,3,0)

(b)

To determine

To calculate: The standard unit notation of the vector v=0,0,4.

(c)

To determine

To graph: The vector v=4k with initial point at (0,0,0).

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