Find a vector function that represents the curve of intersection of the two surfacesby Litcyb Tags: help a noob, homework help, homework questions 

#1
Jan3113, 02:00 AM

P: 35

1. The problem statement, all variables and given/known data
Find a vector function that represents the curve of intersection of the two surfaces: The cone z = sqrt( x^2 + y^2) and the plane z = 1+y. 2. Relevant equations z = sqrt( x^2 + y^2) and the plane z = 1+y. 3. The attempt at a solution This problem can be solved as following using x as the parameter. x^2+y^2 = z^2 = (1+y)^2 = 1+2y+y^2. => x^2 = 1 + 2y. x=t; y = (t^21)/2; z = 1+(t^21)/2 = (t^2+1)/2 My question is, what if we use y as the parameter, i get , y=t, x=(2t+1)^(1/2) z=t+1, is this answer also correct? 



#2
Jan3113, 09:03 AM

Sci Advisor
HW Helper
Thanks
P: 25,168




Register to reply 
Related Discussions  
2D Vectors  Addition and Subtraction of Successive Displacement Vectors  Introductory Physics Homework  20  
Unit tangent vectors, Normal vectors, and Gradients  Calculus & Beyond Homework  0  
find unknown constant of two vectors to make vectors perpendicular to each other?  Calculus & Beyond Homework  8  
Vectors: Given two vectors, find a vector that bisects the angle between the two give  Calculus & Beyond Homework  10  
Position Vectors, Velocity Vectors, and Acceleration Vectors  Introductory Physics Homework  3 