Chapter 12.2, Problem 28E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

What is the angle between the given vector and the positive direction of the *x*-axis?

**28.** 8**i** + 6**j**

To determine

The angle between vector and positive direction of *x*-axis.

Explanation

**Given:**

Vector

**Definition:**

**Plotting a triangle of vector:**

Consider a two-dimensional vector **a** as
*xy*-plane is used to plot the vector. Consider *x*-axis as **i**-component of vector and *y*-axis as **j**-component of vector. Plot the point
*xy*-plane. Connect the vector point and origin to line and draw a perpendicular line on *x*-axis from the point. Therefore, a right angle triangle is made using a vector.

**Formula:**

Write the expression for

According to definition, consider *x*-axis as **i**-component of vector and *y*-axis as **j**-component of vector. Plot the point
*xy*-plane. Connect the vector point and origin to line and draw a perpendicular line on *x*-axis from the point

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P-38RECh-12 P-1PCh-12 P-2PCh-12 P-5P

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