Is the point (−2,−3,2)(−2,−3,2) visible from the point (5,6,0)(5,6,0) if there is an opaque ball of radius 11 centered at the origin? Suppose that you stand at the point (5,6,0)(5,6,0) and look in the direction of a point that is not visible because it is behind the ball. You will then be looking at a point on the sphere. If (−2,−3,2)(−2,−3,2) is not visible from (5,6,0)(5,6,0), find the point on the sphere at which you are looking if you look in the direction of (−2,−3,2)(−2,−3,2). Otherwise, find the point on the sphere at which you look if you are looking in the direction of (−2,−3,1)(−2,−3,1).
Is the point (−2,−3,2)(−2,−3,2) visible from the point (5,6,0)(5,6,0) if there is an opaque ball of radius 11 centered at the origin? Suppose that you stand at the point (5,6,0)(5,6,0) and look in the direction of a point that is not visible because it is behind the ball. You will then be looking at a point on the sphere. If (−2,−3,2)(−2,−3,2) is not visible from (5,6,0)(5,6,0), find the point on the sphere at which you are looking if you look in the direction of (−2,−3,2)(−2,−3,2). Otherwise, find the point on the sphere at which you look if you are looking in the direction of (−2,−3,1)(−2,−3,1).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Is the point (−2,−3,2)(−2,−3,2) visible from the point (5,6,0)(5,6,0) if there is an opaque ball of radius 11 centered at the origin?
Suppose that you stand at the point (5,6,0)(5,6,0) and look in the direction of a point that is not visible because it is behind the ball. You will then be looking at a point on the sphere.
If (−2,−3,2)(−2,−3,2) is not visible from (5,6,0)(5,6,0), find the point on the sphere at which you are looking if you look in the direction of (−2,−3,2)(−2,−3,2). Otherwise, find the point on the sphere at which you look if you are looking in the direction of (−2,−3,1)(−2,−3,1).
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