   Chapter 11.2, Problem 45E

Chapter
Section
Textbook Problem

# Finding the Component Form of a Vector in Space In Exercises 47 and 48. (a) find the component form of the vector v,(b) write the vector living standard unit vector notation, and(c) sketch the vector with its initial point at the origin. (a)

To determine
The component form of the vector v provided in the graph.

Explanation

Given: The graph

Explanation: Consider the provided the graph. From the graph, the initial point is vi=(4,2,1), and the terminal point is vt=(2,4,3).

Now the required vector v is given by,

v=terminal point-initial point,

Thus,

v=vtvi

(b)

To determine
The Standard unit notation of the vector.

(c)

To determine

To graph: The vector whose initial point lies at the origin.

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