OABC is a tetrahedron where O is the origin and A, B and C are the other the →→ ->> ectors a, b and c, respectively, then prove that the centre of the sphere circu given by position vector ->> a² (bx c) + b² (cx a) + c² (axb)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 20E
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If OABC is a tetrahedron where O is the origin and A, B and C are the other three vertices with position
→→
->>
vectors a, b and c, respectively, then prove that the centre of the sphere circumscribing the tetrahedron
is given by position vector
ả xẻ tớ c xả tả cả xơ)
→→→
2[a b c]
Transcribed Image Text:If OABC is a tetrahedron where O is the origin and A, B and C are the other three vertices with position →→ ->> vectors a, b and c, respectively, then prove that the centre of the sphere circumscribing the tetrahedron is given by position vector ả xẻ tớ c xả tả cả xơ) →→→ 2[a b c]
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