π be the plane that touches the sphere E with center C= (2,2,2) at the point A=(7,4,2).The line perpendicular to the plane π passing through point A intersects the sphere E at another point B=(b1,b2,b3).   The sum b1+b2+b3 of the B coordinates is

Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A:

Q: Find the distance (d) from the point (- 4, 8, 4) to the plane 2x + 5y + 4z = - 50. d =

A: image is attached

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: it) is the point (-1,-2,3) visible from the point (1.2, 0) if there is an opaque ball of radius 1…

A: With the help of two points  then we find x,y and z values .. Then we put x,y and z values in…

Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on…

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

A:

Q: The point on the plane 2x+y+z=1 that is closest to the point (1, 2, 3) is (a, b, c). Then a+b-2c= O…

A:

Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

A:

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

A:

Q: find the points on the surface

A: Given, S: x2-y2+6z=0=fx,y,z where normal line to the surface is parallel to the line passing through…

Q: What is the direction perpendicular to the plane containing F₁ and F₂? F₁ = (11î+ 4ĵ- k) N F₂ =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Let Az+By+ Cz=698 be the equation of the plane passing through Po(2,-22,-22) and P, (1,2,3) and…

A: We have to find the value of B in the equation of plane.If the two planes are perpendicular, then…

Q: You are given the following points: A=(−4,20,16)A=(−4,20,16), B=(20,0,7)B=(20,0,7),…

A: Given- (x,y,z) coordinates of three points :A =(-4,20,16) B=(20,0,7) C=(8,-15,-19) to find- closest…

Q: Find the condition for the points(a, 0).(h, k)(0, b) when ab 0 to be collinear.

A: When points are colllinear area should be 0Therefore, 12a01hk10b1=012ak1b1+1hkb1=0

Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: Find the point on the plane 8x - y + 8z = 80 nearest the origin. (x, y, z) =

A:

Q: The equation of the plane that passing through the point A(-3, 0, 1) and perpendicular to n= (1, -2,…

A: