My Math Forum  

Go Back   My Math Forum > High School Math Forum > Geometry

Geometry Geometry Math Forum

LinkBack Thread Tools Display Modes
May 10th, 2017, 04:27 AM   #11
Senior Member
Joined: Nov 2015
From: hyderabad

Posts: 232
Thanks: 2

Originally Posted by skipjack View Post
A line through the point (1, 1, 1) parallel to that normal vector intersects the plane at the point where the plane is tangent to the sphere. How far will that intersection point (assuming it exists) be from the point (1, 1, 1)? Hence what is the intersection point?
You mean finding distance right ?

But between which two points ? (1,1,1) and (2,-1, $\lambda$) ?

I'm not at all understanding
Lalitha183 is offline  
May 10th, 2017, 05:05 AM   #12
Senior Member
mrtwhs's Avatar
Joined: Feb 2010

Posts: 679
Thanks: 127

If the plane is tangent to the sphere, then the distance from the center of the sphere to the plane is equal to the radius of the sphere.

Complete the square on the sphere equation to put it into standard form. Then google "distance from point to plane in cartesian form".
mrtwhs is offline  

  My Math Forum > High School Math Forum > Geometry

Thread Tools
Display Modes

Copyright © 2018 My Math Forum. All rights reserved.