Find a parametrization of the line in which the planes x + 2y + 4z = -4 and 2x + 3y + 6z = -7 intersect. Find the parametrization of the line. O A. x= -2+t, y=-1+2t, z=4t, -8

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: d an equation for the plane that passes through the origin and is perpendicular to the line (t) =…

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Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

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Q: Find the distance (d) from the point (- 4, 8, 4) to the plane 2x + 5y + 4z = - 50. d =

A: image is attached

Q: A perpendicular line is drawn from point P(1,2,1) to the plane -2x+ 4z 8 and meets the plane at…

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Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

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Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

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Q: Which of the following equations define the plane passing through the points (3,0, 0), (0, –7,0),…

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Q: Answer the questions in detalied steps and show work. (1 and 2)

A: Step 1:Step 2:

Q: Find the point at which the line F(t) = (-2,−1, 6) +t(-4, 7, 1) intersects the xy plane. Question…

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Q: Find a plane containing the point (-2, —8, 1) and the line r(t) = (−1, −1, 6) + t(−4, 1, 6). -18.5x…

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