Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.5 Planes in 3-Space - Exercises - Page 685: 50

Answer

$$4x+3y+z=8, \quad 4x+3y+2z=8$$ (Other answers are possible.)

Work Step by Step

The planes $$4x+3y+z=8, \quad 4x+3y+2z=8$$ have the trace $$4x+3y=8$$ in the $ xy $-plane. This is because, if we set $z=0$ in the equations, we will obtain the trace equation. Note that many other answers are possible.
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