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U= 2i-35 j V = 59 +3

U= 2i-35 j V = 59 +3

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Show if u and v are orthogonal 

also find |3u-2v|

**Vector Representation** The image presents two vector equations: - **Vector \( \mathbf{u} \):** \( \mathbf{u} = 2\mathbf{i} - 3\mathbf{j} \) - **Vector \( \mathbf{v} \):** \( \mathbf{v} = 5\mathbf{i} + 3\mathbf{j} \) **Explanation:** - The vectors are expressed in terms of the unit vectors \( \mathbf{i} \) and \( \mathbf{j} \). - \( \mathbf{i} \) and \( \mathbf{j} \) denote the unit vectors along the x-axis and y-axis, respectively. - Vector \( \mathbf{u} \) has a component of 2 in the x-direction and -3 in the y-direction. - Vector \( \mathbf{v} \) has a component of 5 in the x-direction and 3 in the y-direction. These vectors can be visualized on a 2D coordinate plane as arrows with their tails at the origin (0,0) and their heads at the coordinates determined by their components.
Transcribed Image Text:**Vector Representation** The image presents two vector equations: - **Vector \( \mathbf{u} \):** \( \mathbf{u} = 2\mathbf{i} - 3\mathbf{j} \) - **Vector \( \mathbf{v} \):** \( \mathbf{v} = 5\mathbf{i} + 3\mathbf{j} \) **Explanation:** - The vectors are expressed in terms of the unit vectors \( \mathbf{i} \) and \( \mathbf{j} \). - \( \mathbf{i} \) and \( \mathbf{j} \) denote the unit vectors along the x-axis and y-axis, respectively. - Vector \( \mathbf{u} \) has a component of 2 in the x-direction and -3 in the y-direction. - Vector \( \mathbf{v} \) has a component of 5 in the x-direction and 3 in the y-direction. These vectors can be visualized on a 2D coordinate plane as arrows with their tails at the origin (0,0) and their heads at the coordinates determined by their components.
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