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Vectors

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asked Aug 2, 2014 in CALCULUS by zoe Apprentice

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Best answer

The points are A = (-3, -3, -3), B = (-9, -6, 3) and C = (-6, -9, -9).

 

image

answered Aug 3, 2014 by casacop Expert
selected Aug 3, 2014 by zoe
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We can get two vectors in the plane by subtracting pairs of points in the plane:
We can get two vectors in the plane by subtracting pairs of points in the plane:
 
The equation of a plane is ax+by+cz = d, where
 is the normal vector to the plane.
 
We can plug a = -54, b = -54 and c = -27 to get -54x - 54y - 27z = d.
 
plug in the point (-9, -6, 3) to get -54(-9) -54(-6) -27(3) = d
 
d = -27 (2 * -9 + 2 * -6 + 3) = -27 (-18 -12 + 3) = -27 * 27
 
d = -2 7* 27
 
The equation of the plane is -54x - 54y - 27z = -27 * 27
 
2x + 2y - z = 27
 

 

answered Aug 3, 2014 by anonymous

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