# vector

find equations for the osculating normal and rectifying planes to the curve x=3t-t^2, y=3t^2, z=3t+t^3 at point where t=1

1. 👍 0
2. 👎 0
3. 👁 42
1. standard differential geometry stuff. You surely have formulas for this in your text. Any google search will provide many discussions of the topic.

What do you come up with? We'll be happy to check over your answers.

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Math

Consider a curve lying on the cylinder x^2 + y^2 = 1 and given by the vector function r(t) = (cost,sin t, t^2), for t ≥ 0. Find equations of normal planes at the points (1, 0, 0) and (1, 0, 4π^2) Hi, I don't really know how to

asked by A. on December 7, 2012

In each case, sketch the two speciﬁed normal curves on the same set of axes: a A normal curve with m 20 and s 3, and a normal curve with m 20 and s 6. b A normal curve with m 20 and s 3, and a normal curve with m 30 and s 3. c A

asked by Marcia on August 30, 2012
3. ### Math - Intersection of planes

Find the vector equation of the line of intersection for the pair of planes. Plane one: x+5y-3z-8=0 Plane two: y+2z-4=0 I did half of the work but now i am stuck. the normal of the planes are not parallel and therefore a solution

asked by Shaila on September 1, 2010
4. ### Calculus

A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the y-axis. You must use calculus and clearly show

asked by Daksh on July 18, 2014
5. ### Math

Find equations of the osculating circles of the ellipse 9x^2+4y^2=36 at the points (2,0)&(0,3).

asked by Sean on July 5, 2015
6. ### Calculus

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly

7. ### Calculus

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly

8. ### Calculus

Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes

asked by Anon on September 5, 2016
9. ### Math - intersection of planes

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Determine if the planes are parallel b) Fine the line of intersection of the two planes. c) Use the two original equations to determine two other equations that

asked by Shaila on September 4, 2010
10. ### Calc.

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations.

asked by Derek on July 9, 2008

More Similar Questions