# Example Find Equations Normal Plane Osculating Plane Helix R T Cost Sin T J Tk Point Q

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Find the equations of the normal plane and osculating plane of the curve at the given point. xt yt2 zt3 Point (111) For the normal plane I got x2y3z6 but I cant figure out how to do the osculating plane. Help especially step by step help would be greatly appreciated. Answer to Find equations of the normal plane and osculating plane of the curve at the given point. x 7 sin (3t) y t z Find the equations of the normal plane and osculating plane of the helix r(t) 3 cos(t) i 3 sin(t) j tk at the point P(0 3 2). Show transcribed image text Expert Answer

Normal Rectifying and Osculating Planes Examples 1 Fold Unfold. Table of Contents. Normal Rectifying and Osculating Planes Examples 1. Example 1. Example 2. Example 3. Normal Rectifying and Osculating Planes Examples 1. Recall from Determining Equations of Normal Rectifying and Osculating Planes Fold Unfold. Table of Contents. Determining Equations of Normal Rectifying and Osculating Planes. Example 1. Determining Equations of Normal Rectifying and Osculating Planes. We have recently defined three types of planes known as Normal Rectifying and Osculating Planes. Let vecr(t) (x(t) y(t) z(t)) be a vector begingroup The point P (012) is not on the helix. Choose another point Q that is on the helix then we can find the equation of the osculating plane and the normal plane. endgroup DeepSea Dec 22 13 at 749

5) Find an equation of the osculating plane of the curve x cos2t y t z sin3t at the point (10). Solution. Let r(t) cos2ti tj sin3tk so r0(t) 2sin2ti j 3cos3tk and r00(t) 4cos2ti 9sin3tk. The plane to be determined pvectores through the point (10) and is perpendicular to the binormal to the curve at this where ABC are the ijk components of a vector perpendicular to the plane.So u can get that from the binormal vector.(x1y1z1) is a given point on the plane. (x1y1z1) can be found by putting t6 in ur given r(t) function. Find equations of the normal plane and osculating plane of the curve at the given point. x sin 2 t y cos 2 t z 4 t ( 0 1 2 ) Textbook solution for Calculus Early Transcendentals 8th Edition James Stewart Chapter 13.3 Problem 49E. We have step-by-step solutions for your textbooks written by Bartleby experts