Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 12 - Functions of Several Veriables - 12.1 Planes and Surfaces - 12.1 Exercises - Page 870: 13

Answer

$$-x + 2y -3z = 4$$

Work Step by Step

1. Write the general equation of a plane: $$a(x - x_0) + b(y - y_0) + c(z - z_0) = 0$$ 2. Substitute the values: $$ ( -1 )(x - ( 2 )) + ( 2 )(y - ( 3 )) + ( -3 )(z - ( 0 )) = 0 $$ 3. Simplify: $$-x +2 + 2y - 6 -3z =0$$ $$-x + 2y -3z = 4$$
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