between the point and the plane. 43. (1,−2, 3); 2x − 2y + z = 4

Q: Q3:Find equation of the Plane determined by the inter Sectiny (X-5+2{ ツ=ー!+& そ=C+4) (x=3-t ッ= 6+z4,…

A:

Q: 32. Find the equation of a plane through the origin and per- pendicular to x – y+ z = 5 and 2x + y–…

A: Note- According to Bartleby guidelines, we are supposed to do only one question. If you want more to…

Q: Find an equation of the plane.  The plane through the point (2, 0, 5) and perpendicular to the line…

A:

Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A: Find the distance between the origin and plane containing the points A(1,1,0) , B(-1,0,1) and…

Q: c) Evaluate the distance between the parallel planes - 2x + y + z = 0.6x - 3y - 3z + 6 = 0

A: The distance between the parallel planes is given by d2-d1a2+b2+c2. ​

Q: Find the equation of the plane through the line of intersection of the planes x+y+z=1and 2x+3y+4z=…

A: The equation of the plane through the intersection of the planes, x+y+z=1 and 2x+3y=4z=5, is…

Q: Q4. Find an equation of a plane that contains the line x=t, y=1+2t, z=2-t.

A: We have to find the equation of plane .       According to our guidelines ,we cannot solve all…

Q: Find the intersection of the line and the plane. x + y + z = 14, r(t) =〈1, 1, 0〉+ t〈0, 2, 4〉

A: Given that, The equation of the line is: x + y + z = 14 And, the equation of the plane is:  r(t)…

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

A:

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A: Distance from the point P (x1,y1,z1) to the plane Ax+By+Cz=D is  d=|Ax1+By1+Cz1-D|/square root…

Q: Q3/ Find the equation of the plane that contains the line 3-x 2+y %3D 3 - z, and the point P (1, 4,…

A: Given line is  3-x4=2+y2=3-zand the point is (1,4,3) find the equation of the plane

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: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A:

Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: To find the distance from the point 0,1,1 to the line of intersection of the planes:…

Q: The equation of the sphere with center (2,-3, 10) that touches that y-axis is OA (x- 2)° + (y +3)* +…

A: Solution is given below:

Q: Find the point where the line x=8+2t,y=-2t ,z=1+t intersects the plane 3x+2 y+6 z=6.

A:

Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 22 — 0. - NOTE:…

A: Find the distance between the parallel planes.

Q: Q1 What is the distance between the point (2,8, 5) and the plane r- 2y-2z = 1 ? a) 5 b) 25 c) 9 d) {…

A:

Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A:

Q: Q5: Find the distance of the point (2. –2,1) from the line х-2 y-3 = z+2 2 4 3 measured parallel to…

A: we have to find the distance of the point (2,-2,1) from the line x-22=y-34=z+23 measured parallel to…

Q: 1. Find the distance from the point S(2,-3,4) to the plane x+ 2y+ 2z = 13 2. Find the distance from…

A:

Q: (50p.) l- Find an equation of the plane through (1,3,–2) and the line of intersection of the two…

A: Given that, P1 : x-y+z=1 P2 : x+y-z=1 and Point A(1,3,-2)   We have to find Equation of Plane…

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: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: Use equation of plane

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

A:

Q: Q6) Find the distance from the point to the plane. (2, -3, 4), x+ 2y + 2z 13 (0,0,0), 3x + 2y + 6z 6…

A:

Q: ough the point P(6, - 2, - 7) and parallel to the plane 4x + 7y+ Ty+2z = - 4 Ey + 4z = - 4 Ey - 7z =…

A: Plane : 4x+7y+2z = -9 Point : (6,-2,-7)

Q: Find the equation for the plane through Po(4,9,-7) perpendicular to the following line. x-4+t,…

A:

Q: Find the intersection of the line and plane: 2x + 4y – 3z = 19, r(t) = (-2, 1, –1) +t (1, –1,2)

A:

Q: Find the distance from the point S(5, -9,6) to the plane 2x+ 10y + 11z = -10 4. O A. 225 52 B. 5 4…

A: Given:  S(5,-9,6)  And equation of plane is  2x+10y+11z+10=0

Q: Find an equation of the plane. The plane through the point (1, 0, 3) and perpendicular to the line x…

A:

Q: H.W: Find the point where the line 8 x=+ 2t , y= -2t , = 1+t intersects the plane 3x + 2y +6z = 6

A: Given that:                    The line with equation:      x=83+2t, y=-2t, z=1+t     & Plane:…

Q: Find an equation of the plane. The plane through the point (4, 0, 2) and perpendicular to the line x…

A: To find- Find an equation of the plane. The plane through the point 4, 0, 2 and perpendicular to the…

Q: Find the point closest to the origin on the line of intersection of the planes y + 2z = 12 and x + y…

A:

Q: Q5: Find the distance of the point (2. –2,1) from the line x-2 y-3 z+2 %D 2 4 3 measured parallel to…

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: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.

A: This question can be solved using the concept of distance of point from a plane in three dimensional…

Q: 4. Find the equation of the plane that contains the intersecting lines a = 4 +t1, y = 2t1, z =1-3t…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the distance from the point (0,6,0) to the plane x + 4y + 8z = 4. The distance from the point…

A:

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A:

Q: what is the equation of the plane perpendicular to the intersection line of the x-2y+2z= 3  and…

A:

Q: #5: 12(x')? + 3(y')² = 48 , rotated 30° from its position in the xy-plane

A:

Q: Q1. Find the equation of the plane determined by the lines : L₁: (x = -2+1, y = 21 +3₁ Z=4-1), L₂:…

A:

Q: Q4. Find the angle between the plane -2x + y- 2z 0 and the plane generated by the points P1(0, 0,…

A:

Q: Find the​ point, P, at which the line intersects the plane. x=-5-6t , y=9-8t , z=8+7t ; 2x-4y-9z=-2…

A:

Q: Match the quadric surfaces to its graph. A. y? + 22 = 4 + 4x? C. 9x? + 4y? = 36 + 36z2 B. 4x2 + y? +…

A: This is a problem related to the curve plotting in the 3 dimensions. Based on the available concepts…

Q: z+2 Q5: Find the distance of the point (2. –2,1) from the line = = measured parallel to the plane 3x…

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.