Find the equation of the sphere with its center at (−10, 1, 10) and tangent to 2x + 6y - 9z = 17. (Express numbers in ex
Posted: Thu Jul 07, 2022 2:27 pm
- Find The Equation Of The Sphere With Its Center At 10 1 10 And Tangent To 2x 6y 9z 17 Express Numbers In Ex 1 (145.32 KiB) Viewed 40 times
Explain why the set of points (x, y, z) equidistant from (5, 9, 0) and (-5, 7, 4) is a plane. Select the correct explanation. Because in three dimensions, each point on a plane is equidistant from a given point, so that if the distances from both points are equal, the plane is equidistant from both points. Because in two dimensions, the set of points located at a distance r from the two points is a line, and considering all possible values of r produces a plane. O Because in two dimensions, the set of points equidistant from two points is a plane. Because in two dimensions, the set of points equidistant from two points is a line, and the result of rotating it through the third dimension with respect to the segment between the points is a plane. Find the equation of this plane. Hint: This can be done in two ways. The first one is to use the distance formula to equate the distances between (x, y, z) and the given points, simplifying the result to obtain the equation of the plane. The second one is to find a point on the plane and a vector normal to the plane and use the answer to find the equation of the plane. (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation: Question Source: Sullivan 2e Calculus Publisher: W.H. Freeman
Two unidentified flying objects are at the points (3t, -3t, 3 - 3t) and (3t 24, 5t,7t 3) at time t, t > 0. Find the acute angle between the paths. (Express numbers in exact form. Use symbolic notation and fractions where needed.) 0 = Incorrect Find where the paths intersect (or determine that they do not). (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *, *). Enter DNE if the paths do not intersect.) (x, y, z) = Incorrect XXX:11 +1. hind 11: 1.9