6 A pre-image has coordinates A(3, -5), B(3, 1) and C(-2, 0). The image has coordinates A'(3, 5), B`(3; -1) and C'(-2, 0). What type of reflection occurred? Explain how you know.

Q: The plane 7= [1,0,0]+t[1,1,1]+s[L,−1,1]; s,t €R contains the point (3,0, p). Find the value of p.

A: Given r=(1,0,0)+t(1,1,1)+s(1,-1,1)

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A: While rotating the triangle around x=0 it becomes a cone

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A: Given: Point (2, 3, 4) and plane 3x + 2y − z = 6. To Find: Equation of the line passing through the…

Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

A:

Q: 33) Given point P(1,2, 3) and vector n= î + ĵ , find point Q on the x-axis such that PQ and în are…

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

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Q: Consider AXYZ with vertices X(4, 7), Y(8, 5). and Z(6, 3). Follow the steps to the left to find the…

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Q: The plane through the point (3,-1,2) can perpendicular to the a) x-axis b) y-axis c) z-axis d) non d…

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Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Let the coordinates are defined as A(0,0,0), B(3,1,0), and C(0,1,1) . The vector BA→ is defined as…

Q: Point ZZ is located at (-5,-3)(−5,−3) on the coordinate plane. Point ZZ is reflected over the…

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Q: Find the point on the plane x−3 y+3 z =−8 that is closest to the point (−2,−2,0) .

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Q: Find the distance between the point (0, 2, 1) and the plane 2x − 6y + 3z = 6

A: Distance between the point x1,y1,z1 and the plane ax+vby+cz+d=0is given by-d=ax1+by1+cz1+da2+b2+c2

Q: Which graph shows the intersection curve, in the first octant, between a cylinder of equation: (x −…

A: In this question, we need to find the curve which describes the intersection of the surfaces.…

Q: Find the point on the plane −2 x+y−z =−9 that is closest to the point (3,−2,2) .

A: We have to find a point on the plane closest to another point.

Q: Equation of the plane passing through the point (4, –2, –1) and parallel to yz-plane is

A: To find the equation of the plane passing through the point 4, -2, -1 and parallel to yz-plane.

Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (-3,…

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

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

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Q: 1. y = x², x = 0 , x = 2, y = 0, about the x – axis - 2. V9 - y?, у %3 1, у %3 3, а %3D 0, about the…

A: Use formula to calculate volume

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Q: 9/5 Directrix x + 2, center at (2, -6) and one of vertices at (2, -4). 5 %3D

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Q: Calculate the distance between the points N=(-9, 8) and Q=(-1, 1) in the coordinate plane. Give an…

A: Euclidean distance between two points in coordinate geometry is basically the length of the line…

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Q: Where does the line through (-3, 1, 0) and (−1, 3, 8) intersect the plane 2x + y − z = -2? (x, y, z)…

A: Given the points (-3,1,0) and (-1,3,8) and the plane 2x+y-z=-2

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

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Q: Let a rectangular a'y'z'-coordinate system be obtained by rotating a rectangular xyz-coordinate…

A: The standard transition matrix from B to B' is given by: P=cosθ-sinθ0sinθcosθ0001

Q: Q1/: Find the distance between plane (6x - 2y - z +4 = 0) and point (3, 2, 1). (6 marks)

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Q: Line AB 100 mm long is 30 degree and 45degree inclined to HP & VP respectively. End A is 10 mm above…

A: Steps to find HT: Draw xy, one projector and locate VT on it. Draw locus of a110 mm above xy. Take…

Q: point P(1, 1, –3) and orthogonal to the plane 3y – 4x + 2z = 3. |

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Q: 4. The vertices of a trapezoid are located at (1, -2), (3, -1), (3, -5), and (1,-4). The trapezoid…

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Q: The line through the point (1, 0, 6) and perpendicular to the plane a + 3y + z = 5

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Q: Va+ ド+で Find the distance between the point (0, 1,5) and the plane 3r + by – 2z-5 0.

A: topic - distance of point from plane

Q: 3x²-4y² = 12 Center: (0, 0) Vertices: (0, =2) O Foci: (0, ±V7) Center: (1, 1) Vertices: (+4, 0)…

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Q: find the distance from the point (2,2,3) to the plane 2x+2y+2z=4

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Q: A triangle has vertices (1, 1), (3, 7) and (5, 4). What is the distance between the centroid and the…

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Q: ution. 2. CENTER AT (-3, 4); V(-10, 4) length of conjugate axis = 9 y a = b = C = (h, k) = Vertices:…

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Q: ) What coordinate system is suggested to be used when seeing the integrand (x² + y²)5/2, cylindrical…

A: We determine which coordinate system  is used

Q: Find a set of parametric equations of the line  that passes through the point (5, 6, 7)  and is…

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Q: 5. The line passes through the point (-4, 5, 2) and is parallel to the xy-plane and the yz-plane. 6.…

A: Solution for a: Since line passes through the point P(-4,5,2) and parallel to xy-pane and yz-plane.…

Q: -) Find the distance from the point (4, 22, 6) down to the ry-plane. ) Find the distance from the…

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Q: Q = (-1,3,–1) on the plane Find the point P nearest to x – 4z = 2

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Q: Is the point (-3, -4, 2) visible from the point (6, 7,0) if there is an opaque ball of radius 1…

A: Find the value of x, y and z. The value for the variables are  computed by using the midpoint…

Q: Equation of the plane passing through the point (3, –2, 5) and parallel to yz-plane is

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Q: 6. Find a parametric representation of the line of intersection of the two given planes. 2x+ y- z= 6…

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

A: Given : Equation of plane is y+3x-6z=8i.e. 3x+y-6z=8   To Find : Parametric and symmetric equation…