Rhombus GHIJ with vertices G(-1, -3), H(3, -4), 1(4, -8), and J(0, -7)- (a) Translation: (x, 5) - (« + 4, y + 10) (b) Rotation: 90° counterclockwise

Q: The image of (-2 , 5) under reflection y = -x followed by translation with translation vector (-3 ,…

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Q: Find the parametric vector form for the solution of the system, where all coefficient one in X₁ +…

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Q: If a line is parallel to the vector 2i + 9j + 8k and passes through the point P = (6, 8, 8), then…

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Q: Trapezoid PGRS with vertices P(-6, 2), G(-2 -0, R(-2 -3), and S(-6, -6), reflect in the linex-1 (4)…

A: We need to draw transformed image.

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: The projection of the point (2, -3, 1) on the yz- plane is Select one: O (0, -3,1) ○ (2,0,1) O (2,…

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Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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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: Find the parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: Question No. (6): To find the parametric equations for a line passing through the points .Note:…

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: Rewrite the equation in a rotated x′y′​-system without an x′y′​-term. Use the appropriate rotation…

A: Consider the given equationx2+xy+y2-19=0.the general form of cartesian conic equation…

Q: 2.) Write the solution set of the given homogenous System in parametric vector form. 2x1 + 2x2 + 4x3…

A: We are given the homogeneous system and we have to solve the given system in parametric from.

Q: number 13

A: Solve question number 13

Q: -> If the projection of a = i-2 +3k on b = 2î+ ak is zero, then the value of 2 is (A) (B) 1 - 2 (C)…

A: Use the dot product to find the projection.

Q: Triangle ABC has points A(-1,2), B (0, -3) and C (1, 2). A translation of this triangle results in…

A: Observing from the given point we conclude that

Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: Parallelogram PQRS with vertices P(-3,-4), Q(0, -3), R(-1,-8), and S(-4,-9): a) translation along…

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

Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: P(-3,2,-3) and Q(1,-1,4).

Q: Triangle CDE with vertices C(-1. 3). D(4,2). and E(3, 1): a) translated along the vector (-3. -7) b)…

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Q: (у-3) dy y2-6y+1

A: To evaluate the integral: ∫(y-3)y2-6y+1dy Solution: ∫(y-3)y2-6y+1dy…

Q: How to find an equation of a plane through a specific point such as (3,0,3)?

A: There can be infinitely many planes passing through one point and hence you can not find an equation…