14. Determine an equation of a plane parallel to a coordinate planethat contains the given pair of points.(a) (3, 4, −5), (−2, 8, −5)In Problems 21 and 22, find the distance between the given points.21. (3,−1, 2), (6, 4, 8)7.3In Problems 1–12, a = (2, −3, 4), b = (− 1, 2, 5), andc = (3, 6, − 1). Find the indicated scalar or vector.6. b. (ac)

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Answered: 14. Determine an equation of a plane…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Give your answers in the form ax + by = c. 1 a AB: y = 2x+ 11; midpoint (-4, 3) b AB: y =-3x + 7; midpoint (6, -11) 2 a AB : y=-x-10; midpoint (-12, 6) 3 b AB : y =x+1; midpoint (10, 5) b AB: 3x – 4y = 9; midpoint (-1, -3) 9 7 4' 2 3. a AB: 4x + 5y = 13; midpoint (2, 1) 4 a AB: 6x – 24y =-37; midpoint b AB: 4x + 12y = 33; midpoint For questions 5 to 8, use the method demonstrated in Worked Example 14.5 to find the equation of the perpendicular bisector of the line segment connecting the given points. Give your answers in the form y=mx +c. 5 a (5, 2) and (13, 6) b (3, 1) and (21, 7) 6 a (-4, 5) and (5, -1) b (-2, -3) and (2, 7) (17 1) a and 21 b 4 and (9 34 7 (2'5, 23 31 and 7 17 (11 13 and 8. a 9 For each of the following Voronoi diagrams, give all the examples of the: i sites iii finite edges ii vertices iv finite cells.
3. Diego and Anya live 72 miles apart. They both meet at their favorite restaurant, which is (16x – 3) miles from Diego's house and (5x + 2) miles from Anya's house. Diego argues that in a straight line distance, the restaurant is halfway between his house and Anya's house. Is Diego right? Justify your reasoning. Midpoint and distance can also be calculated on a coordinate plane. The coordinate plane is a plane that is divided into regions (called quadrants) by a horizontal line (_ and a vertical line (_ > The location, or coordinates, of a point are given by an ordered pair,
Find the general form of an equation for the plane through the points (4,3,4), (-2,0,1),(0,–1,2).

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14. Determine an equation of a plane parallel to a coordinate plane that contains the given pair of points. (a) (3, 4, −5), (−2, 8, −5)