4. Determine a vector equation for the plane that is parallel to the xy -plane and passes through the point (4, 1, 3).

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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4.
Determine a vector equation for the plane that is parallel to the xy -plane and passes through the
point (4, 1, 3).
5.
Determine a scalar equation for the plane through the points M(1, 2, 3) and N(3 ,2, -1) that is
perpendicular to the plane with equation 3x + 2y + 6z + 1 = 0.
6.
Show that the line with parametric equations x = 6 + 8t, y = -5 +t, z = 2 + 3t does not intersect
the plane with equation 2x - y - 5z - 2 = 0.
Transcribed Image Text:4. Determine a vector equation for the plane that is parallel to the xy -plane and passes through the point (4, 1, 3). 5. Determine a scalar equation for the plane through the points M(1, 2, 3) and N(3 ,2, -1) that is perpendicular to the plane with equation 3x + 2y + 6z + 1 = 0. 6. Show that the line with parametric equations x = 6 + 8t, y = -5 +t, z = 2 + 3t does not intersect the plane with equation 2x - y - 5z - 2 = 0.
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