Find the point lying on the intersection of the plane x + + z = 0 and the sphere x2 + y2 + z2 = 25 with the largest z-coordinate. 3 (х, у, 2) %

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Find an equation of the sphere with center (9, 4, 6) that just touches (at one point) that…

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Q: 2 1 + 쉬우 axis (+1 zi (+ [ ]

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Q: Find the distnace between the point and the plane. (2,8,4) 2x + y + z = 5

A: We know, The distance from (p,q,r) to the plane ax+by+cz+d=0 is  a.p+b.q+c.r+da2+b2+c2

Q: SOLVE BY HAND LEGIBLE Find the point on the sphere that is closest to the point (1,-1,1)

A: Step 1:Step 2:Step 3:Step 4:

Q: Show how you determined the points: determine 3 points on the attached plane.

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Q: Find the equation of the plane through the points (11,0,0), (0, 8,0) and (0, 0, 1). NOTE: Enter the…

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Q: Find an equation of the plane passing through the three points given P = (2,4, 2), Q = (4, 10, 10),…

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Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

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Q: Find the canonical or standard equation of the sphere, if it exists. 2x² +2y² + 2z² – 4x+12y–16z+6=0…

A: To write the canonical or standard equation of the below sphere. 2x2+2y2+2z2−4x+12y−16z+6=0

Q: Consider two vectors u, v, and is the angle between them, which of the following is false A. 00 if…

A: Given two vectors u→,v→ and θ is the angle between them