Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 11 - Three-Dimensional Space; Vectors - 11.1 Rectangular Coordinates In 3-Space; Spheres; Cylindrical Surfaces - Exercises Set 11.1 - Page 771: 12

Answer

See explanation.

Work Step by Step

Distance from $y z$ plane is $|x|=|-5|=5$ Distance from $x z$ plane is $|y|=|2|=2$ Distance from $x y$ plane is $|z|=|-3|=3$ Distance from $z$ axis is $\sqrt{y^{2}+x^{2}}=\sqrt{4+25}=\sqrt{29}$ Distance from $y$ axis is $\sqrt{z^{2}+x^{2}}=\sqrt{9+25}=\sqrt{34}$ Distance from $x$ axis is $\sqrt{z^{2}+y^{2}}=\sqrt{9+4}=\sqrt{13}$
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