The planes x + 2y + 3z = 12 and 2x + 3y + z equation is (x, y, z) = (0, 6, 0) + n(7, – 5, 1). Find the point in both planes for which: a) x = 7 = 18 intersect in the line l whose %3D b) y = 16

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Q: a) Show that the distance between the parallel planes Ax + By + Cz = D1 and Ax + By + Cz = D2 is |D1…

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Q: @/ Find the angle between the planes (x-+y+z=1)and (x-2y+32-1). And find the symmetric equations for…

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Q: Are the planes 1/2 x + 2y − z = 5 and 3x + 12y − 6z = 1 parallel?

A: Given: Are the planes 1/2 x + 2y − z = 5 and 3x + 12y − 6z = 1 parallel?

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Q: A sphere of constant radius r passes through the origin O, and cuts the axes in A, B, C. Prove that…

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Q: 3x + 30 (5y 2)° 5z +5 8х — 5 (9y 8) SR = RT mZT AS 4z 8 %S4

A: we will find in next step

Q: The plane 6x + 8y + 60z = 700 intersects th of the highest and lowest points or coordinates

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Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and…

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Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

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Q: Find the point on the plane x - 2y + 3z = 12 that is closest to the point (0, 2, 2). (x, y, z) =

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Q: Find an equation of the plane that passes through the line of intersection of the planes ( x – z = 1…

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Q: The planes 3x + 6z = 1 and 2x + 2y - z = 3 intersect in a line. Show that the planes are orthogonal.

A: Given: 3x+6z=12x+2y−z=3

Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5?…

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Q: Find the point on the plane 5x +4y+z 12 that is nearest to (2,0,1). What are the values of x, y, and…

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Q: The planes 3x + 6z line. = 1 and 2x + 2y - z = 3 intersect in a a) Show that the planes are…

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Q: Find a line equation through the point P(1,2,3) and parallel to the line of intersection of the…

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Q: Find an equation of the plane through (-8, 4, –9) that is perpendicular to the planes 5x – y +z = 1…

A: Solution of question is written in below steps.

Q: Find the point on the plane 3x+4y+z=8that is nearest to​ (2,0,1). What are the values of​ x, y,…

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Q: Find the points PCo10,0),Q Ce,2,0) and RCOl- thal- 2I to the line: the Line in the Plane of passes…

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