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in Three Dimensional Geometry by (4.0k points)
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Consider the points A(2,2, – 1), B(3,4,2), C(7,0,6) 

(i) Find AB. 

(ii) Find the Cartesian and vector equation the plane passing through these points

1 Answer

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Best answer

(i) AB  = \(\sqrt{1+4+9}\\=\sqrt14\)

(ii) Cartesian Equation of the plane is

⇒ (x - 20)20 -(y - 2)(-8) + (z + 1)(-12) = 0

⇒ 20x + 8y -12z -68 = 0

⇒ 5x +2y -3z -17 = 0

Vector equation is \(\bar{r}\) (5i + 2j – 3k) = 17

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