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43. The figure shows a line L₁ in space and a second line L₂. which is the projection of L, onto the xy-plane. (In other words. the points on L₂ are directly beneath, or above, the points on L₁.) (a) Find the coordinates of the point P on the line L₁. (b) Locate on the diagram the points A, B, and C, where the line L₁ intersects the xy-plane, the yz-plane, and the xz-plane, respectively. L₁ P ZA L₂

43. The figure shows a line L₁ in space and a second line L₂. which is the projection of L, onto the xy-plane. (In other words. the points on L₂ are directly beneath, or above, the points on L₁.) (a) Find the coordinates of the point P on the line L₁. (b) Locate on the diagram the points A, B, and C, where the line L₁ intersects the xy-plane, the yz-plane, and the xz-plane, respectively. L₁ P ZA L₂

Elementary Geometry For College Students, 7e
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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centered at the origin, 42. The solid upper hemisphere of the sphere of radius 2 centered at the origin 43. The figure shows a line L, in space and a second line L₂. which is the projection of L, onto the xy-plane. (In other words, the points on L₂ are directly beneath, or above, the points on L₁.) (a) Find the coordinates of the point P on the line L₁. (b) Locate on the diagram the points A, B, and C, where the line L₁ intersects the xy-plane, the yz-plane, and the xz-plane, respectively. X L₁ P 1 0 I L₂ 44. Consider the points P such that the distance from P to A(-1, 5, 3) is twice the distance from P to B(6, 2, -2). Show that the set of all such points is a sphere, and find its center and radius. equidistant from the
Transcribed Image Text:centered at the origin, 42. The solid upper hemisphere of the sphere of radius 2 centered at the origin 43. The figure shows a line L, in space and a second line L₂. which is the projection of L, onto the xy-plane. (In other words, the points on L₂ are directly beneath, or above, the points on L₁.) (a) Find the coordinates of the point P on the line L₁. (b) Locate on the diagram the points A, B, and C, where the line L₁ intersects the xy-plane, the yz-plane, and the xz-plane, respectively. X L₁ P 1 0 I L₂ 44. Consider the points P such that the distance from P to A(-1, 5, 3) is twice the distance from P to B(6, 2, -2). Show that the set of all such points is a sphere, and find its center and radius. equidistant from the
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