3 A figure has a vertex at (a, b), where a is a positive integer and b is a negative integer. What is the algebraic rotation rule that takes the figure to Quadrant I? A (x, y)→(y, -x) B B (x, y)→(-x, -y) с (х, у) —-(-у, х) D (x, y)-→ (x, y) triangle and its image

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

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Q: The vertices of a rectangle are R(-5,-5), S(-1, -5), T(-1, 1) and U(-5, 1). After translation, R' is…

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Q: #5 What are the coordinates of A' if the figure is reflected across the y axis? B D а) (2,3) b)…

A: The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point.

Q: Let A(2, -3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on…

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: Triangle XYZ is drawn with vertices X(1, 2), Y(2, 5), Z(3, 4). Determine the translation direction…

A: Vertices of a triangle XYZ: X=1, 2Y=2, 5Z=3, 4

Q: Find the image of the point A(-2, 4, 5) under a rotation of 60 degrees In the plane x = 2 about the…

A: We need to find image of given point.

Q: . Triangle FGH with vertices F(6, 6), G(8, 8), and H(8, 3): (a) Reflection: in the line x 5 (b)…

A: Given: Triangle FGH with vertices F(6, 6), G(8, 8) and H(8, 3): (a) Reflection: in the line x=5 (b)…

Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: AABC has the coordinates A(3, 4), B(-1, 3) and C(-2, -5). Find the coordinates of AA'B'C' after the…

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Q: transformations

A: We have  a triangle PQR where P(1,4),Q(3,-2),R(7,1) We have to take the reflection across the X-axis…

Q: 19) Find the equation for the line in 3-space passing through the points (2,5,3) and (3, -3, 7)…

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Q: Find the intersection of the line x = -1 + 2t, y = 3 + t, z = 4 - t with the yz-plane. O (1, -3, -4)…

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Q: Evaluate (6x-3y)dA where Ris the parallelogram with vertices (2,0), (5,3), (6,7) and (3,4)using the…

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Q: √√2 (5 (5x + 3y)dA where R is the parallelogram with vertices (0,0), (2,1), (-1,3), and (1,4). Use…

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Q: 3. P'(-5.-3) is the image of P after a transla along the rule (x,y) → (x+2, y-1). What the…

A: P'=(-5,-3)translation rule is (x,y)→(x+2,y-1)let point P is (x,y)

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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Q: Let A(2, -3) and B(-2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on…

A: Vertices of triangle ABC are A(2,-3) , B(-2,1) and the centroid of this triangle moves on the line ,…