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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)

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)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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