satisfies each set of conditions. a) parallel to both the y- and z-axes; contains the point A(-4, 5, 1) b) parallel to the xz-plane; does not pass through the origin perpendicular to ā= [1, -2, 5]; does not pass through the origin

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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for
A (6, 1, 4), B(−3, 7, 9), and C(5, 0, 3).
Explain your reasoning.
13. Determine an equation for a plane that
satisfies each set of conditions.
a) parallel to both the y- and z-axes;
contains the point A(-4, 5, 1)
b) parallel to the xz-plane; does not
pass through the origin
perpendicular to a= [1, -2, 5]; does
not pass through the origin
contains the y-axis; parallel to
à = [3, -3, 7]
e) parallel to, but not touching, the z-axis
two planes that are perpendicular to
each other but neither parallel nor
perpendicular to the xy-plane
Calcul
Transcribed Image Text:for A (6, 1, 4), B(−3, 7, 9), and C(5, 0, 3). Explain your reasoning. 13. Determine an equation for a plane that satisfies each set of conditions. a) parallel to both the y- and z-axes; contains the point A(-4, 5, 1) b) parallel to the xz-plane; does not pass through the origin perpendicular to a= [1, -2, 5]; does not pass through the origin contains the y-axis; parallel to à = [3, -3, 7] e) parallel to, but not touching, the z-axis two planes that are perpendicular to each other but neither parallel nor perpendicular to the xy-plane Calcul
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