Determine if the point A(4, -7, 8) lies on the plane: T1 : [x, y, z] = [-3, 2, 9] + s [2, 3, –7] +t [–1, 5, – 2] ; s, t e R %3D

Q: Find an equation for the plane through the point (0, –4, 5) which is perpendicular to the line…

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Q: 4. Find the perimeter of the figure on the coordinate plane. 4 M(0, 4) L(-3, 0) N(3, 0) -4 2, 4. -2…

A: We have to find the parameter of the given figure.

Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: Let r¡(t) = (-4,0, –5) + t(0, 1, –3) and r2(s) = (2, –2, 10) + s(2,0, 3). Find the point of…

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Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Find the point P such that v Q = (8.75, -6.25, -4.5) P = PQ has the components (-0.25, -15.25,…

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Q: Let V₁ = -4 1 | -12 B-B- V2 = 4 -3 11 -5 " and y = For what value of h is y in the plane spanned by…

A: and We have to find the value of .

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: J₁ - 6x + 6y Find -6x + 6y 4x + 3y 0, -dA, where R is the parallelogram enclosed by the lines - 6x +…

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Q: Let 9 -15 ------ 12 V2 = -6 h = V1 = -3 3 1 - 2 For what value of h is y in the plane spanned by v₁…

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Q: Set 5. (-3, 4) and (2, 6) A. (2, 8) and (-3, 2) t. 11. (-5, -7) and (1, -2) G. (0, 1) and (-6, -2)…

A: As per guidelines we can solve only three subparts at a time so the first three subparts from left…

Q: Wally modeled a window with FGHJ. For what values of x and y is FGHJ a parallelogram? F= (4y + 7)…

A: Solution:-   Given:-F=4y+7G=8x-15J=6x+7H=5y-18The opposite sides of a parallelogramare congruent .…

Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

A: Find the equation of the plane perpendicular to the x-axis and passing through the point (-2,3,2)

Q: 2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2,…

A: The given equations are x+2y=8          …12x+3y=10      …2

Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

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: B. Find the distance between each pair of points on the coordinate plane. 1. A(12,-2) and B(10,-2)…

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Q: 1) Establish two linear functions shown below and find X and Y coordinate of the intercept P of two…

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Q: Plot the points A(-3, 1), B(3, 1), C(-2, –3), D(0, 3), and E(2, –3) on a coordinate plane. Draw the…

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