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
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1bfa5ca-dc76-4ca1-ac98-72a68718410a%2F4e4add55-ad2a-4569-a5ee-6a053d0e34ba%2F76rfac_processed.png&w=3840&q=75)
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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