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: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

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

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Q: Find an equation of the plane through (-7, 2, 1) that is 2 = 3t, y +3 = 6t, z = perpendicular to the…

A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

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

A: image is attached

Q: Find the equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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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: 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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