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May 10th, 2017, 04:27 AM   #11
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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
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May 10th, 2017, 05:05 AM   #12
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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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