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1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this line at a distance of 10 units from point (0, 0, 0). 2. The vertices of a cube are on a sphere. Find an equation of the sphere if its center is (0, 0, 0) and one side of the cube measures 2 units.

1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this line at a distance of 10 units from point (0, 0, 0). 2. The vertices of a cube are on a sphere. Find an equation of the sphere if its center is (0, 0, 0) and one side of the cube measures 2 units.

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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1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this line at a distance of 10 units from point (0, 0, 0). 2. The vertices of a cube are on a sphere. Find an equation of the sphere if its center is (0, 0, 0) and one side of the cube measures 2 units. 3. Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of the cylinder. 4. Give an equation of the surface of revolution generated by revolving x = cos z about the z-axis.
Transcribed Image Text:1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on this line at a distance of 10 units from point (0, 0, 0). 2. The vertices of a cube are on a sphere. Find an equation of the sphere if its center is (0, 0, 0) and one side of the cube measures 2 units. 3. Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of the cylinder. 4. Give an equation of the surface of revolution generated by revolving x = cos z about the z-axis.
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