(a) Find the distance between the parallel planes                     x+2y-2z+1=0                   2x+4y-4z+5=0 (b) Find the radius of the circular section in which the sphere                |r|=5 is cut by the plane                     t.(i+j+k)=3\sqrt{3} (c) Show that the plane  2x-2y+z+12=0   touches the sphere            x\power{2}+y\power{2}+z\power{2}-2x-4y+2z-3=0.

Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

A: To find distance of point to plane using the formulae: Given point is and plane equation is .

Q: Find the distance between two planes if they are parallel x+2y+3z=6 and 2x+4y+6z=5

A: Solution:GIvenx+2y+3z=6  and 2x+4y+6z=5To find the distanceFormula:If θ=0°  then the planes are…

Q: Compute (47 SK) - dA, where s is the square of side length 3 perpendicular to the e-axis, centered…

A: According to question given that∫S(4i→+5k→).dA→Where S is the square of  the side length  3…

Q: Find the equation of the sphere of radius 8 centered at (1, 3, 6). O x² + y² +z² = 46 O x² + y² + z²…

A:

Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem