Find symmetric equations for the line of intersection of the planes. 2 3x - y - 7, 2- Sx + 2y - 8 O 3(x + 2) --2(y - 1) = 112 O 3(x - 2) -2(y+ 1) 112

Q: Determine whether the planes are parallel or identical. -6x + 4y – 9z = 5 18x - 12y + 27z = 14 O The…

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Q: 14. Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

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Q: If this trapezoid is moved through the translation (x+3, y-2), what will the Coordinates of A' be? B…

A: Here, given that the trapezoid is moved through translation (x+3,y-2). To find the translated…

Q: Find the equation of the plane through (1,-4,2) and per pendicular to each of the planes 2x t 5y -2…

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Q: Find the x-, y-, and z-intercepts of the plane. (If an answer does not exist, enter Di 4x - 5y + 2z…

A: for x intercept, y=z=0 for y intercept, x=z=0 for z intercept, x=y=0

Q: The vertices of a square are H(0, 2), I(2, 0), J(0, - 2) and K(-2, 0).

A: Transformation of a function: A function transformation takes whatever the fundamental function f…

Q: Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.

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Q: Find the distance the point P(1, 6, 3), is to the plane through the three points Q(-4, 3, 1), R(-9,…

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Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=0, x+2y-3z+5=0.

A: The given equation of planes are  2x + 3y + 7z + 2 = 0   ...... (1) x + 2y - 3z + 5 = 0   ...... (2)

Q: Find a plane through P0(2, 1, -1) and perpendicular to the line of intersection of the planes 2x + y…

A: The directional vectors of the planes are given by (2,1,-1) and (1,2,1)The directional vector of the…

Q: Determine whether the planes are parallel or identical. -5x + 3y –8z = 5 15x - 9y + 24z = 14 O The…

A: Two planes A1x+B1y+C1z =d1  and    A2x+B2y+C2z =d2  are parallel if                      A1A2 = B1B2…

Q: Q18) Find an equation of the plane through the three pants given P-(S,0,0),Q:(2,3,1), R=(9,-1,-1).

A: Solve the following

Q: Write the coordinates of the vertices after a reflection across the y-axis. 101 -10 10 10 R(-8, 1)…

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

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Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+ 7z+23D0, x+2y-3z+ 5-0.

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

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Q: 8. The distance between the planes 2r -y-2z 5 and 2r - y- 2z = 7 is A C 2 D 4

A: As the planes are parallel than for calculation distance between planes we use formula:…

Q: Find the point, P, at which the line intersects the plane. x= 5- 3t, y = 4+ 6t, z = 10 - 3t; - 8x+…

A: Explained below

Q: The line (x-22-3, y = 2z) intersects the plane (x+3y-2+4= 0) at the point P, Find: a) the…

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Q: Q4. Find an equation of the plane that passes through the origin and the point (1,1,1) and is…

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Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: 4. Find the point on the plane 4x+7y+8z-16=0 closest to the point (-3,3,2). The point is (Simplify…

A: we use langrange multiplier method

Q: Determine whether the planes are parallel or identical -7x + 4y - 9z = 5 14x - 8y + 18z = 9 The…

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Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y +z = 5 intersecting on a line l (b) Determine…

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Q: Q7) The equation of the plane contains the points (3,2,1), (2,1,-1) and (-1,3,2) is 2x-9y-5z=16. * F

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Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: 10. Paralleogram ABCD has vertices A(-1,4), B(3,2), c(3,-4), and D(-1,-2). y A(-1, 4) B(3, 2) 4-2 2…

A: Given, Parallelogram ABCD with vertices  A-1, 4B3, 2C3, -4D-1, -2  We have to find the equation…

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

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Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify…

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Q: (b) Find the points where the line passing through (-2,0,1) and (-4,1,4) intersect the sphere x2 +…

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Q: find the line of interscetion f the plane given by 3X +6y-S=-3 f the plane -2x +?9 -そ =24 %3D

A: Given equation of planes3x+6y-5z=-3and -2x+7y-z=24We need an equation for all (x,y,z) that satisfy…

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

A: Equation of the plane

Q: Find the equations of the planes P1, P2 and P3 that are parallel to the coordinate planes and pass…

A: See step 2.

Q: Find the equation of a) the line passing through the point (2, 1, 0) and parallel to the line X =…

A: Find the equation of (a) the line passing through the point 2,1,0 and parallel to the line x=5+2t ,…

Q: Find the real number ( B ) such that the line of symmetric equations ( x - 3 = = ) is parallel to…

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Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x…

A: We have to find out the point of intersection

Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

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Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 24. The two planes are perpendicular. Find the value of k. I1:X-y+ 2z - 5 = 0 Tg: 3x - 2y + kz + 1 =…

A: We will find the value of k as following.

Q: Determine whether the planes are parallel or identical. -7x + 4y – 9z = 5 14x - 8y + 18z = 9 The…

A: Here we have to determine whether the planes are parallel or identical.

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: Determine whether the planes are parallel or identical. -5x + 2y – 8z = 6 10x – 4y + 16z = 11 The…

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Q: The equation of the sphere centered at C(h, k, 1) ad radius r is given by (x - h)² + (y-k)² + (z-1)²…

A: We will solve the problem.

Q: Find the equation of a plane that contains the lines and - 2+5. O A 2x-y-22 = 42 O B. 2x y 2z -10 O…

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Q: The intersection of the two planes given by the r. = 5 and () 4 r. 4 = 8 2

A: We have ,  equation of two planes are ,  r.221=5 .............(1)and r.442=8 .........(2)

Q: Find the equation of the line that passes through the point (4, 9,6) and is perpendicular to the…

A: Equation of the line that passes through the points (4,9,6)is given by (x-4)/a=(y-9)/b=(z-6)/c.

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: Determine whether the planes are parallel, perpendicular, or neither. (a) P1:2r - 3y – 8z – 2 = 0…

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