Find an equation for the plane that passes through the point (-7, 10, –8), is parallel to the line x = 6 – t, y = 9+t, z = -5 + 2t, and intersects the plane 2.x + y – z = = eV? at a 30° angle.

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

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Q: bugi nе pom the equa that passes 2,1), 2(0, 2, 3) the d P3(−2, −1, −5). Then, find the distance from…

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

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Q: The plane II contains the points (1,2,3), (0.1.2) and (2,3,0). The line L passes through the points…

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Q: find the distance from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: Let A = (1, –1, 2) and B = (4, –2, 3). Solve for proj,B. %3D

A: As per the guidelines for the multiple questions I had solved the first question.

Q: Find the equation of the plane that contains the line r¡(t) = (1 + lt, –1+t, 2+ 8t) and the point…

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Q: Find the equation of the plane that passes through (3,4,-1) and contains the line of intersection of…

A: To work out the equation of the required plane satisfying the given geometric conditions