as If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to x+1 y-3z+2 x-21-y. 3 2 line and containing the line ax + By + ye-24, then a +B+y is equal to : Optiens 1 20 2 19 3 21 * 18

Q: Find the equation of the plane through (-1,4,2) and containing the line of intersection of the…

A:

Q: Find the equation of the plane with the given description. Passes through (6, 1, 5) and is parallel…

A:

Q: Find an equation for the plane which contains the point P(2,1,- 3) and intersection line of the…

A:

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: Give an equation of the plane: (a) that contains the point (−2, 1, −3) and perpendicular to a line…

A: The plane is that  surface in which if any two pint are taken and the line joining those point lies…

Q: Find the point at which the line (3, 4, 5) +t(1, -1, –5) intersects the plane -5x + 2y+ z = -86.

A:

Q: 9) Find an equation of the plane whose points are equidistance from the point (2,-1,1) to the point…

A:

Q: 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3. 2) + 1, 1.4), te R.…

A: According to guidelines we solve one question.thanku

Q: 1. The plane containing the point (1,-5,8) and orthogonal to the line given b x=-3+15t, y=14-t,…

A:

Q: 4. What is the equation of the plane through (-1,-1,0) parallel to the plane x + 2y+ 3z 9? (a) x -…

A: To find the equation of a plane through (-1,-1,0) parallel to the plane x+2y+3z=9

Q: Find an equation of the plane passing through the three points given.P = (2, −1, 4), Q = (1, 1, 1),…

A: To find the equation of the plane passing through the three pointsP =x1,y1,z1= (2, −1, 4), Q…

Q: The Cartesian equations of the line perpendicular to the plane 2x -3y + 4z + 8=0 and passing:…

A:

Q: 6. Find the equation of the plane that passes through (3,1,2) and (-1,2,–1) and is parallel to the…

A:

Q: Find an equation of the plane passing through the three points given.P = (5, 1, 1), Q = (1, 1, 2), R…

A: GivenP=(5,1,1) , Q=(1,1,2) and R=(2,1,1)To find equation of plane passing through the three points.

Q: 29. In each case, determine whether or not the point lies on the line. If it does not, give an…

A: The line passes through the point B=3,-3,1 and has direction vector v→=4,4,1. Another vector in the…

Q: The equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2) is: None of these…

A:

Q: 3) Find an equation of the plane whose points are equidistance from the point (2, - 1,1) to the…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: find an equation of the plane. The plane that passes through the point  (1, −1, 1)  and contains…

A: The parametric equations of the line x=3y=4z may be re-written as  so that its vector equation is…

Q: find the equation of the plane passing through(1,0,-1)&(-1,2,1) and parallel to the line of…

A: To determine: The equation of the plane passing through the points (1, 0, -1) and (-1, 2, 1) and…

Q: If Ax+By+5z=C is an equation for the plane containing the point (0,0,1) and the line x-1=, z=-23,…

A:

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

A: We have to find equation of ohm plane

Q: Find symmetric equations of the line passing through point P(2, 5, 4) that is perpendicular to the…

A: The symmetric equations of line are given by (x-xo)a = (y-yo)b = (z-zo)cwhere (x0, y0, z0) is a…

Q: Find an equation of the plane whose points are equidistant from (6, -5, 3) and (7,5, 5). 13x + 8z –…

A:

Q: Suppose the symmetric equations of lines l1 and l2 are = 2 - y = z and r = -1, 3 respectively. (a)…

A: If two lines are neither intersecting nor parallel then they are know as skew lines  If vector form…

Q: Find the equation of the plane containing the point P(-2,4,3) and the line y+1 z+2 %3D 4 2 -3

A:

Q: Find an equation of a plane through the point (1, -4, -3) which is orthogonal to the line x = -3 –…

A:

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

A:

Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: Find the equation of the plane that passes through the point (−1, 2, 1) and contains the line formed…

A:

Q: If the image of the point (1 -2 3) in the plane 2x+3y-z=7 is the point x, y, z then the value of…

A: Let's first understand the

Q: Find an equation of the plane passing through P = (1, 2, 3), Q = (0, 0, 3), and R = (−2, 5, 4).

A:

Q: Find symmetric equations of the line passing through point P(2, 5, 4) that is perpendicular to the…

A:

Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(7, -1, 7)…

A:

Q: 3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

A:

Q: Find an equation of the plane through (1,3,–2) and the line of intersection of the two planes with…

A: Given that, Point A (1,3,-2) Two planes  P1: x-y+z-1=0P2: x+y-x-1=0   We have to find the equation…

Q: 19. (1) Give the equation of the line going through (3,2, 7) and orthogonal to r+ 2y - 3z = 16 (2) *…

A: 19) 1 Equation of ine through x0,y0,z0 having direction ratios a,b,c is x-x0a=y-y0b=z-z0c

Q: (1) Find an equation of a plane that goes through (-1,2,6) and is perpendicular to (2, 1, –3).

A: It is given that the perpendicular vector to the plane is given as,  and plane passing through,…

Q: 1). 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3, 2) + t(1, 1,…

A:

Q: X ▪ Find equation of plane which is contains line L: 3y-2 2-7 = -3 -1 and parallel to intersection…

A: We will find a point vector on the plane a→ and normal vector to the plane n→ then equation of plane…

Q: 4.)It is known that the plane α passes through the point (2, 1, 3) and contains the line g with the…

A:

Q: 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1).

A:

Q: Find an equation for the plane which contains the point P(2,1,-3) and intersection line of the…

A:

Q: Find the equation of the plane contains the line X+1/2 = Y/3 = Z-1/4 and the line of intersection of…

A: We have given the line of intersection of planes; x + 2y - 2z = 6 , 5x - 2y - z = 0 and line; X+1/2…

Q: find the equation of the plane passing through (1,0,-1)&(-1,2,1) and parallel to the line of…

A:

Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

A:

Q: The equation of the plane that passes by P(-1, 2, 1) and that is perpendicular to the line x - 3 1-…

A:

Q: Find an equation of a plane through the point (-2, 1, 5) which is orthogonal to the line 2= -3- 3t,…

A: The director vector of the line is (-3, -4, -3). Given that the plane is orthogonal to the line. So…

Q: 3. If (4x + 5y+ 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1– 3t, %3D z = 2 + t) is…

A:

Q: 9) Find an equation of the plane whose points are equidistance from the point (2, -1,1) to the point…

A: find the midpoint  ...............point on the plane