My Math Forum Value of λ

 Geometry Geometry Math Forum

May 10th, 2017, 04:27 AM   #11
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Joined: Nov 2015

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Quote:
 Originally Posted by skipjack 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

 May 10th, 2017, 05:05 AM #12 Senior Member     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".

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