Apr 8, 2020 · First we rewrite the equations of the two planes as dot products with their orthogonal vectors: [math]2x+2y+2z = 12 \Leftrightarrow ...
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Apr 7, 2021 · The reason this works is that the plane is perpendicular to the line so the dot product of any vector [x-2, y+3, z-1] in the plane and the ...
Duration: 12:35
Posted: May 14, 2014
Posted: May 14, 2014
Dec 31, 2020 · A plane is through the points (1,2,-1) and is perpendicular to the line intersection of the two planes 2x+y+z=2 and x+2y+z=3? What is the ...
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Mar 20, 2021 · A plane is through the points (1,2,-1) and is perpendicular to the line intersection of the two planes 2x+y+z=2 and x+2y+z=3? What is the ...
May 8, 2019 · A line L : (−1, 5, 1) + t (2, 1, −4) intersects two planes, P1 : 2x − y + 3z = 5 and P2. How do I find the point of intersection of line L ...
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Nov 16, 2022 · a perpendicular line from the plane to the origin will be the shortest distance. The normal vector to the given plane is <2,1,-1>, so starting ...
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Jul 16, 2021 · How do I find a vector equation with parameter t for the line of intersection ... plane 2x –y +3z + 6 = 0? It suffices ... The direction vector of ...
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Nov 27, 2023 · How do I get the intersection of the planes 2x-3y+z=1 x+y-z=4? ... In general the intersection of 2 planes is a straight line. ... line and a vector ...
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Apr 14, 2019 · 2 parallel planes must have the same normal Vector →n ( 2 , 6 , 6) ;. The equation of the unknown plane is: 2x +6y +6z = d ;. The 2 given ...
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