Write an equation for the plane that contains the point A = (4,5,-3) and that is perpendicular to the line through B = (5,-2,-2) and C = (7,1,4)
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Originally Posted by stones44 Write an equation for the plane that contains the point A = (4,5,-3) and that is perpendicular to the line through B = (5,-2,-2) and C = (7,1,4) Write the equation of the plane with normal and contains the point A.
Originally Posted by stones44 Write an equation for the plane that contains the point A = (4,5,-3) and that is perpendicular to the line through B = (5,-2,-2) and C = (7,1,4) one way to write the equation of a plane is: here, is the normal vector to the plane. here, your normal vector is the vector , do you see why? we begin with where is a point the plane passes through. then we expand and simplify
Originally Posted by Jhevon one way to write the equation of a plane is: here, is the normal vector to the plane. here, your normal vector is the vector , do you see why? we begin with where is a point the plane passes through. then we expand and simplify 2(x-5) + 3(y-4) + 2(z+3) = 0 2x-10+3y-12+2z-6 = 0 2x + 3y + 2z = 28
Originally Posted by stones44 2(x-5) + 3(y-4) + 2(z+3) = 0 2x-10+3y-12+2z-6 = 0 2x + 3y + 2z = 28 here you have n = <2,3,2>, that is incorrect
There is a minor mistake.
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