4- Find The cquation ofthe plane That pass hrangh the origin audat the poiat p(11)ond at is parallel to the line of the inter sectiun of tw Fallonding to The planess

Q: 3. [For students with ID # ending in 4 or 5.] Through the point (4, 2, -5) and perpendicular to the…

A: Given, through the point (4, 2, -5) and perpendicular to the plane…

Q: show.. that the line in.which. the planes.X+zy-223D5 and. 5X-zy.-7=D0.jntersect.is. pavalle.to. the…

A:

Q: of the tss plane passes threngh the point Cl,) and contains the line {x=t, Find the 9 =-2, 2= 2

A: According to the given information, it is required to find the equation of plane.

Q: 5) s how that the line af intersection f the Planes X+24-22= 5 and 5x-2y-73D0 is Parallel to theline…

A:

Q: A) Given the two planes 2x-3y+z=7 and 2x-3y+z=11. Find the following: 1- Approve that these planes…

A: as per guidelines, we can solve one question at a time if you want all questions will be answered…

Q: Which of the following is the equation of the plane that is pas the point P(2, 2,–2) and vertical to…

A: Given, the equation of the plane that is passing through the point   P(2, 2,-2) and vertical to the…

Q: Let A = (1,1) and B = (5, –5) be the points in the plane. Determine the locus of the point P (all…

A: Note some result about circle : Suppose we have the equation ax2+by2+2gx+2fy+2hxy+c=0. If a=b and…

Q: Consider the line which passes through the point P(5, 5, -5), and which is parallel to the line x =…

A: Equation of the line :       x-x0a = y-y0b = z-z0c=k ; where x0,y0,z0 is a point and a,b,c is the…

Q: 5. (a) Find an equation for the line of intersection between the planes r+3y-z = 2 and 2x – y+2z =…

A:

Q: Find the distance from (2, -7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Here we find the distance from 2,-7,-8 to a xy plane b the yzplane , c the xz plane d the x-axis e…

Q: S show. that the line in..which. the planes.X+.2y-2Z=5 and. 5X-zy..Z=0..jntersect..s..pavallel.o.…

A:

Q: 4. Find a plane through Po(2, 1, –1) and perpendicular to the line of in- tersection of the planes…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: The planes x - 2y + 32 - 3 =0 and 3x + y - z + 5 =0 are perpendicular. Select one: True False

A:

Q: Q8) The distance between the line x=-1+t, y=3+2t, z=-t and the plane 2x- 2y-2z=3 is: * 5 -units V12…

A: In a three dimensional picture, the line and plane are drawn as per their equations. It is desired…

Q: 4- Find The equation ofthe plane That the origin andat the poiat p(u1)ond at is parallel to theline…

A: Equation of plane

Q: Find a plane containing the point (-3,3,-3) and the line F(t) = +t

A:

Q: Q4:Show if the line (x = 5y +17, y+z-2= 0) lies in the plane 3x-41y-26z +1 = 0 or no ? Where does…

A:

Q: Which of the following is the intersection point of the plane 5x-2y-3z=0 and X = 5-t the line y =…

A:

Q: In the Argand's plane what is the locus of [3(22²-5z + 3) 11_2π ong

A:

Q: (31) Find a plane through A(2, 1, –1) and perpendicular to the line of intersection of the planes 2x…

A: Given, 2x+y-z=3 ,x+2y+z=2 The equation of the plane passing through x1,y1,z1 is given by…

Q: The line L(t) = (4 - 3t, 13 – 3t, 4t – 10) intersects the plane 2z - (4x + 2y) = 16 at the point |…

A: We have to given  line L(t)=<4−3t,13−3t,4t−10> which intersects the plane 2z−(4x+2y)=16 at the…

Q: . Find the relation between line L and plane P: Question 9. 2x +2y-32-1=0. If they intersect at one…

A: The given plane is 2x+2y-3z-1=0. Find the relation between line L and plane P. 1. The given line is…

Q: 13) find the equ.f Plane Parallel From (3,2,-1) is twise ther distunce to the Plane 2X-9 +22=1 to…

A: Solution is given below:

Q: 7, the line (X3+at.. y=26. Zo 5X-2y+42=10 at Zot).intersects. the paint p. Find the. coordinates…

A:

Q: 12 Which point is equidistant from the planes T1:- 2x +y- 2z + 3 = 0 and 73: - 2x + y- 2z + 21 = 0?…

A: Option B is correct :- (explained below)

Q: Find the distance from (2, –7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Hey, since there are multiple subparts posted, we will answer three subparts. If you want any…

Q: Find the distance from (2, -2, 9) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Determine the Point OF 3x +y+22 = 45 and the Line witth plaremetre eg dartons 1 = 1+t, y= 3 +2 € ,…

A:

Q: Q:- find the line of interseetion o f the given by 3X +6y -SZ=-3 S the plane plane -2x + 7y -Z=24 1)…

A: We know that a straight line is the intersection of two planes. So a pair of equations of first…

Q: 8) Find the parametricequation of the Line passes through p(2, 13to 3x+y-22 =5 and perpendicularof…

A:

Q: 3. If a plane contains two distinct points P1 and P2 then show that it contains every point on the…

A: The given problem can be proved both by mathematically and by the definition. For your convenience I…

Q: 3. Consider the graph of z=r -y". (a) What shape are the traces parallel to the ry-plane? Are there…

A: given z=x2-y2 (A) what shape are the traces parallel to xy plane? are there any restricition on the…

Q: 6. Determine the line of intersection of the planes X+2y +7z= 4 X+3y+3z = 1

A:

Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

A:

Q: 5) s how that the line af intersection f the Planes and 5x-2y-Z=0 is Paraliel toG Pheline X+23-22= 5…

A:

Q: The line L(t) = (2+1,8-31, 2t-6) intersects the plane 2y - 3x + 3z = -11 at the point

A: Given, the line             Lt=2+t, 8-3t, 2t-6                                   ...(1) Intersects…

Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5?…

A: Given two lines, 3x-6y-2z=15 ....(i) and 2x+y-2z=5....(ii) Putting z=0 in (i) and (ii) we get,…

Q: The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of…

A: We need to find out the distance between the given point and xz plane.

Q: х —7 у-5 z-1 L: 4 -,P: 2x + y – 7z +1 = 0 6. 3

A: Given Data: Line: x-74=y-53=z-16 Plane: 2x+y-7z+1=0 Let t is a constant variable for line,…

Q: Find the eguation f Plane that Passes through P(12-1,3) and s Parallel to the Plane 3X++6? ans. 3X+y…

A:

Q: Find the line of intersection of the planes x + 7y + z = 9 and x − 5y + 4z = 15

A:

Q: 3 Show that the planes, x-2y+4z-13D0 and 3x-6y+8z=5, if so, find the distance * .between them…

A:

Q: Find the distance from (.-4,5) to each of the following. (a) the xy-plane (b) the yz-plane (c) the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 3. If a plane contains two distinct points P1 and P2 then show that it contains every point on the…

A:

Q: 6. Determine the line of intersection of the planes. X+2y +7z= 4 X+3y+3z =1

A: We use vector product to directional vector in which line of intersection of planes lies

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.