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A vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates (a,b) . Similarly, we may define a vector w in three-dimensional space as a line segment in space with a specified direction where the component form is given by three coordinates (a, b, c) . For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w = (2, 3, 3) or, in terms of the unit vectors i = (1, 0, 0) , j= <0, 1, 0o> , and k = (0, 0, 1> , as w = 2i + 3j + 3k. Use this convention for Exercises 99–100. P(2, 3, 3) 100. The magnitude of v =

A vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates (a,b) . Similarly, we may define a vector w in three-dimensional space as a line segment in space with a specified direction where the component form is given by three coordinates (a, b, c) . For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w = (2, 3, 3) or, in terms of the unit vectors i = (1, 0, 0) , j= <0, 1, 0o> , and k = (0, 0, 1> , as w = 2i + 3j + 3k. Use this convention for Exercises 99–100. P(2, 3, 3) 100. The magnitude of v =

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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A vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates (a,b) . Similarly, we may define a vector w in three-dimensional space as a line segment in space with a specified direction where the component form is given by three coordinates (a, b, c) . For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w = (2, 3, 3) or, in terms of the unit vectors i = (1, 0, 0) , j= <0, 1, 0o> , and k = (0, 0, 1> , as w = 2i + 3j + 3k. Use this convention for Exercises 99–100. P(2, 3, 3)
Transcribed Image Text:A vector v in a plane is a line segment with a specified direction, where the component form is given by two coordinates (a,b) . Similarly, we may define a vector w in three-dimensional space as a line segment in space with a specified direction where the component form is given by three coordinates (a, b, c) . For example, a vector w from the origin to a point P (2, 3, 3) is given in component form as w = (2, 3, 3) or, in terms of the unit vectors i = (1, 0, 0) , j= <0, 1, 0o> , and k = (0, 0, 1> , as w = 2i + 3j + 3k. Use this convention for Exercises 99–100. P(2, 3, 3)
100. The magnitude of v = <a, b, c) is given by ||v = Va + b² + c². Find the magnitude of each vector. a. v = (-8, 2, 12) b. w = 3i - 9j + 12k
Transcribed Image Text:100. The magnitude of v = <a, b, c) is given by ||v = Va + b² + c². Find the magnitude of each vector. a. v = (-8, 2, 12) b. w = 3i - 9j + 12k
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