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What is the angle between the given vector and th…

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Problem 27 Easy Difficulty

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

$ i + \sqrt{3} j $


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Alan Ghazarians

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Related Topics

Vectors

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Top Calculus 3 Educators
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Lectures

Video Thumbnail

02:56

Vectors Intro

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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Watch More Solved Questions in Chapter 12

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Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
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Problem 19
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Problem 21
Problem 22
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Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
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Problem 37
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Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52

Video Transcript

for the given problem, we want to determine the angle um the angle between the positive um X. Axis and I plus three J. Or route three J. Which is the same as +13 The way we find the angle measurement data, is it going to be the inverse tangent of be overhead? And in this case we see that B. is going to be route three A. Is going to be one. So we do this, we want to put it into degrees mode instead of radiance. So we end up getting that um the angle measurement created with the vector and the positive X axis Is going to be 60°. And that makes sense because this would be Um I had partners over at three and then we would have won right here. So we know this would be one to Route three. So this would be a 30 60 90 triangle um that tells us right there, this would be a 60 degree

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Calculus: Early Transcendentals

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Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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