Suppose |||| = a, so that the tip of r is on a sphere of radius a with center at O. (a) Show that r = aN+BB, where a and 3 are related to p and 7 by -p and BT: -de the equations a = - = ds (b) If 7 = 0, show that the tip of r moves on a circle about the line of B as an axis. (c) If 70, show that p² + 1/2 (de) ds 2 =a².
Suppose |||| = a, so that the tip of r is on a sphere of radius a with center at O. (a) Show that r = aN+BB, where a and 3 are related to p and 7 by -p and BT: -de the equations a = - = ds (b) If 7 = 0, show that the tip of r moves on a circle about the line of B as an axis. (c) If 70, show that p² + 1/2 (de) ds 2 =a².
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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