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

$ i + \sqrt{3} j $

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00:54

Alan Ghazarians

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Missouri State University

Oregon State University

Idaho State University

Boston College

Lectures

02:56

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.

11:08

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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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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