Find the point on the sphere x^2+ y^2+ z^2= 9 farthest from the point (-1,-1,1).
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- Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and perpendicular to the plane 4x-y+2z=7?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).A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are attached at the top of each tower.The cable from a parabolic curve and the lowest point of the cable is 15 meters from the surface of the bridge. Which set of information is true to the scenario described?