Register to reply

Find the equation of the plane that satisfies the stated conditions.

by faslickit
Tags: calculus, multivariable
Share this thread:
Feb22-09, 01:31 PM
P: 3
The plane that contains the line x = -2 + 3t, y = 4 + 2t, z = 3 - t and is perpendicular to the plane x - 2y + z = 5.
Phys.Org News Partner Science news on
Physical constant is constant even in strong gravitational fields
Montreal VR headset team turns to crowdfunding for Totem
Researchers study vital 'on/off switches' that control when bacteria turn deadly
Feb22-09, 01:35 PM
P: 3
Nevermind, I kinda just solved it myself.

All good.
Feb22-09, 06:49 PM
P: 2
Find the equation of the plane (if you dare) that is tangent to the following spheres:

sphere 1: r=2 center P(2,2,2)

sphere 2: r=3 center Q(3,4,5)

Ok, I know that the plane will be parallel to the vector PQ = <1,2,3>

For the equation of a plane I need a normal vector, and a point on the plane. I know that one of the points on the plane will be one of the points on the sphere (either sphere will do, right?).

The equations for the spheres are:

(x-2)^2 + (y-2)^2 + (z-2)^2=4


(x-3)^2 + (y-4)^2 + (z-5)^2=9

What i am thinking now is that i should take the midpoint between the spheres' centers. Use that to find another vector parallel to the plane in question, and then generate a normal vector from that - is this correct thinking?

And from there, i am unsure how to find a point common to the plane and the sphere (either sphere).

I have drawn this out on paper and understand the geometry...

Register to reply

Related Discussions
Help me - A function satisfies the differential equation Calculus & Beyond Homework 5
Find the lowest n from N that satisfies: Calculus & Beyond Homework 11
Given a curve, find the equation of the plane the cuve lies in Calculus & Beyond Homework 4
Find a >2 degree polynomial that satisfies (1, p), (2, q), (3, r) - p,q,r = arbitrary Linear & Abstract Algebra 5
How to find out equation of a plane intersecting with other ? Calculus 2