Is the point (-3, -4, 2) visible from the point (6, 7,0) if there is an opaque ball of radius 1 centered at the origin? Yes or no? Suppose that you stand at the point (6, 7,0) 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 (-3, -4, 2) is not visible from (6, 7,0), find the point on the sphere at which you are looking if you look in the direction of (-3, -4, 2). Otherwise, find the point on the sphere at which you look if you are looking in the direction of (-3,-4, 1). Point (x, y, z) =

Q: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

A:

Q: Find the point on the sphere x²+y2+z2=2304 that is farthest from the point (1,-18,-27).

A: d  = x-12+y+182+z+272d2 = x-12+y+182+z+272fx, y, z = x-12+y+182+z+272subject to the constraintgx,…

Q: The center of the sphere whose one of its diameters has end points P1(1,-3,-1) and P2(2,0, 1) is…

A: Sphere Definition: A sphere is a three-dimensional counterpart of a circle, with all its points…

Q: What is the center and radius of the sphere whose equation is (x + 1)2 + y2 + (z + 4)2 = 5? (-1, 0,…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

A:

Q: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

A:

Q: Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54…

A:

Q: Find the distance from the point (0, -1, -2) to the plane - 4y – 4z = 5.

A:

Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

A:

Q: Find the point on the sphere  x2+y2+z2=900 that is farthest from the point (−19,−8,11).

A:

Q: If the coordinates of the mid-points of the sides of a triangle are (1,1) ,(2,-3) and (3,4) .Find…

A:

Q: Find the point on the sphere x2+y2+z²=900 that is farthest from the point (14,-5,-1).

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the centroid of the triangle whose vertices are at points (3,4). (6.-9) and (6,-2). asap pls

A:

Q: 4) Show that the equation of the sphere circumscribing the tetrahedron whose faces are y+z=0,…

A:

Q: 2. Find an equation of the sphere that passes through the point (2, 3, –1) and has center (-3, –1, –…

A:

Q: Determine the general equation of the plane 2 passing through the point P(1, -4, –5) and parallel to…

A: Given problem:- Determine the general equation of the plane π passing through the point P(1, -4,-5)…

Q: Identify and sketch the quadric -- = 0 3 2 3 surface z 2

A: For the solution of the problem follow the next step.

Q: Find the point on the sphere x²+y²+z²=961 that is farthest from the point (19,1,–9).

A: We have to find the farthest point from the given point.

Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

A:

Q: Find the distance from the point to the given plane. (1, -2, 4), 3x + 2y+ 6z= 5

A: Given : Point : 1,-2, 4 Plane : 3x+2y+6z = 5

Q: y -6- 4- 3- 2- 1- -3 2 -1 0 12 3 4 5 6 -1- -2- R -3- your work on question 10, classify this…

A:

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A:

Q: Find the equation of a plane consisting of all points that are equidistant from (5,5,-1) and…

A:

Q: Find an equation of the sphere with center (2,-3,6) that touches the xy-plane.

A:

Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

A:

Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A: On solving this we will get:-

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: Find the equation of the sphere which passes through (2, 1, 3), (3, 2, 1), (1, –2, –3), (–1,1, 2).

A: Given that the sphere passes through the points (2,1,3), (3,2,1), (1,-2,-3), (-1,1,2).

Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: Find the point on the sphere x²+y2+z²=1225 that is farthest from the point (6,9,24).

A:

Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: 1. Find the distance from the center of the sphere given by (x-2)² +(y+2)²+(z-1)² = 4 to the point…

A: Given equation of the sphereis x-22+y+22+z-12=4So center of the sphere be 2,-2,1and the given…

Q: The center of the sphere whose one of its diameters has end points P;(1,3, –1) and P2(2,-2,1) is |…

A: Given that the endpoints of the diameter of the sphere are P11, 3, -1, P22, -2, 1 To find its…

Q: Find the point on the sphere x2 + y2 + z2 = 4 farthest from the point (1, -1, 1).

A:

Q: Find an equation for the plane consisting of all points that are equidistant from the points (-6, 3,…

A:

Q: Determine the center and radius of the sphere 2x2+2y2+2z2-12x-24y-36z=0

A: We have to find center and radius

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

A: Given:      Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane…

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0

Q: How to find an equation of a plane through a specific point such as (3,0,3)?

A: There can be infinitely many planes passing through one point and hence you can not find an equation…

Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7

A: General equation of sphere is given by:

Q: Find the point on the sphere  x2+y2+z2=7056 that is farthest from the point (5,−15,−2)

A: The given question has been solved in detail

Q: Show that the set of all points P, that are twice as far from (-1,5,3) as from (6,2,-2) is a sphere.…

A: Let's find.

Q: Find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5 Thank you.

A: To find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5

Q: -. Which coordinate plane is closest to the point (7, 3, 8)? Find an equation of the sphere with…

A: we have to find the coordinate plane that is closest to the point 7,3,8 and also find the equation…

Q: Find an equation of the plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1) . Show all…

A: Given plane passing through given three points

Q: Find the point on the sphere x²+y²+z²=4489 that is farthest from the point (18,-20,18).

A:

Q: find the equation of a sphere passing through the point(1,-3,4),(1,-5,2),(1,-3,0) and having on the…

A:

Q: 5. Find the distance from the point (4, -3, 6) to the plane *-2y+z=1

A:

Q: The equation of the plane containing the points (4, – 3,1), (-3,–1,1) and (4, –2,8) is:

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.