If OABC is a tetrahedron where O is the origin and A, B and C are the other three vertices with positio →→ ->> vectors a, b and c, respectively, then prove that the centre of the sphere circumscribing the tetrahedro ở xã tớ xả tả cả xơ) →→→>> is given by position vector

If OABC is a tetrahedron where O is the origin and A, B and C are the other three vertices with positio →→ ->> vectors a, b and c, respectively, then prove that the centre of the sphere circumscribing the tetrahedro ở xã tớ xả tả cả xơ) →→→>> is given by position vector

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 47EQ

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Question

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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