Find the coordinates of the point (x, y, z) on the plane z = 4x + 2y + 3 which is closest to the origin. x = 4 y = 2 z = 3

Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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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 coordinates of the point p on the plane #₁ - 2 + 2x3 = 0, that is closest to the point b =…

A: x1-x2+2x3=0  that is closest to the point (2,0,-2)

Q: Write down the equation of the plane containing the point (-8, 3, 7) and parallel to the plane given…

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Q: Find an equation of the plane

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Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: Find the point on the plane 8x - y + 8z = 80 nearest the origin. (x, y, z) =

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