5. What are the coordinates of the centroid of triangle FGH: F(6,-1), G(12,4), H(15,-2)?

Q: 2) = ( (x, y, z) =

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Q: AJKL has coordinates J (2, 4), K (3, 1) and L (3, 3). A translation maps the point J to the point J'…

A: Explanation: Given that, △JKLJ(2,4)→J'(3,3)K(3,1)L(3,3)     Concept Used: To translate the given…

Q: Find the distance from the point P(1, 4, 0) to the plane through A(0, 0, 0), B(2, 0, -1), and C(2,…

A: Given points A0,0,0 , B2,0,-1 & C2,-1,0The direction ratios of AB⇒2-0,0-0,-1-0=2,0,-1Similarly…

Q: 4. Point C (-5, 4) is reflected over the X-axis. What are the coordinates of C'? O a) (5, 4) O b)…

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

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Q: The vertices of AJKL are J(-3, 4), K(3, 0), and L(-5, -4). The equation of the median JLis y = 0.…

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Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

Q: Find the vector equation for the line of intersection of the planes x + y - 4z = 4 and + 4z = -2

A: We have to find the vector equation.

Q: winting a TraniStation UIC A triangle has coordinates F(-2, 3), G(-4, 1), and H(-2,-2). The triangle…

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Q: Find the equation of the planes that contains two lines given by L₁ :x=1-2t, y = 4 + t, z = t and…

A: Given that the lines are             L1: x=1-2t, y=4+t, z=t, L2: x=2-3t, y=1+4t, x=2-t. To find the…

Q: the midpoint of line segment with end points (-1,6,2) and (3, 2, -4) What is the distance between B…

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Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

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Q: 0(0,0). U(0,3), A(5,3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0)…

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Q: Vectors a' and b are perpendicular to one another. Find k : a'(k², –k, 1), b´ (k, 3, – 2)

A: Scalar product of two vectors

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

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Q: Calculate the distance from point B=(−1,3,−1) to the plane that passes through point A=(3,2,−1) and…

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Q: Line A goes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A and passes…

A: Given: Line A passes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A. Line…