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3) Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle between the two vectors is , compute the following (clearly show all steps and properties used). 3 Only use properties of vectors, do not use vector components or specific examples of vectors or geometry/pictures. Leave answer in exact, simplified form. üxv²+(2ū+v).ü

3) Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle between the two vectors is , compute the following (clearly show all steps and properties used). 3 Only use properties of vectors, do not use vector components or specific examples of vectors or geometry/pictures. Leave answer in exact, simplified form. üxv²+(2ū+v).ü

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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3) Given two vectors ū and v such that the length of u is 3 and the length of vis 5, and the angle between the two vectors is , compute the following (clearly show all steps and properties used). I 4) Only use properties of vectors, do not use vector components or specific examples of vectors or geometry/pictures. Leave answer in exact, simplified form. üxv|²+(2ū+ v).ü Refer to the figures on the right for the following questions. If you are asked to identify a surface, use the Roman numeral to identify the surface. (a) Rewrite the equation in standard form, then identify which surface could be represented by the equation x²+4z² = 16-4y². (b) Rewrite the equation in standard form, then identify which surface could be represented by the equation y-3x²=-2z². (c) Write a possible equation to describe surface II. (d) Write a possible equation to describe surface VI. I III VII y y II VI VIII 2
Transcribed Image Text:3) Given two vectors ū and v such that the length of u is 3 and the length of vis 5, and the angle between the two vectors is , compute the following (clearly show all steps and properties used). I 4) Only use properties of vectors, do not use vector components or specific examples of vectors or geometry/pictures. Leave answer in exact, simplified form. üxv|²+(2ū+ v).ü Refer to the figures on the right for the following questions. If you are asked to identify a surface, use the Roman numeral to identify the surface. (a) Rewrite the equation in standard form, then identify which surface could be represented by the equation x²+4z² = 16-4y². (b) Rewrite the equation in standard form, then identify which surface could be represented by the equation y-3x²=-2z². (c) Write a possible equation to describe surface II. (d) Write a possible equation to describe surface VI. I III VII y y II VI VIII 2
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