40. Consider the plane x + 2y – z = 5 and the vectori = 2i - 55 + 3k.(a) Find a normal vector to the plane.(b) What is the angle between i and the vector youfound in part (a)?(c) What is the angle between ī and the plane? 44. (a) Give a vector that is parallel to, but not equal to,ū = 4ĩ +35.(b) Give a vector that is perpendicular to i.45. For what values of t are ü = tỉ -j +k and iti +tj – 2k perpendicular? Are there values of 1 forwhich ū and i are parallel?

Answered: Image /qna-images/answer/d232f5e4-a380-4c5b-8e33-9cfc7a417e34.jpg

Consider the plane x + 2y – z = 5 and the vector = 2i - 5j + 3k. a) Find a normal vector to the plane. b) What is the angle between i and the vector you found in part (a)? c) What is the angle between ī and the plane?

Consider the plane x + 2y – z = 5 and the vector = 2i - 5j + 3k. a) Find a normal vector to the plane. b) What is the angle between i and the vector you found in part (a)? c) What is the angle between ī and the plane?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

40. Consider the plane x + 2y – z = 5 and the vector
i = 2i - 55 + 3k.
(a) Find a normal vector to the plane.
(b) What is the angle between i and the vector you
found in part (a)?
(c) What is the angle between ī and the plane?

44. (a) Give a vector that is parallel to, but not equal to,
ū = 4ĩ +35.
(b) Give a vector that is perpendicular to i.
45. For what values of t are ü = tỉ -j +k and i
ti +tj – 2k perpendicular? Are there values of 1 for
which ū and i are parallel?

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