   Chapter 12.2, Problem 28E

Chapter
Section
Textbook Problem

# What is the angle between the given vector and the positive direction of the x-axis?28. 8i + 6j

To determine

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

Explanation

Given:

Vector 8i+6j .

Definition:

Plotting a triangle of vector:

Consider a two-dimensional vector a as ai+bj and hence 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 (a,b) in 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 tanθ of right angle triangle.

According to definition, consider x-axis as i-component of vector and y-axis as j-component of vector. Plot the point (8,6) in xy-plane. Connect the vector point and origin to line and draw a perpendicular line on x-axis from the point

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Differentiate. f(t)=cottet

Single Variable Calculus: Early Transcendentals, Volume I

#### For

Study Guide for Stewart's Multivariable Calculus, 8th

#### Solve for x: ln(e + x) = 1. a) 0 b) 1 c) e d) ee e

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 