Problem

What is the angle between the given vector and th…

01:06

Problem 27 Easy Difficulty

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

$ i + \sqrt{3} j $

Answer

$$
60^{\circ}
$$

Discussion

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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

Carson M.

California Baptist University

Topics

Vectors

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 2

Vectors

Problem