A, B and C are points in space relative to 0 such that AB 1 CO and AC 1 BO. Prove that BC 1 AO. The vector area of a triangle is the vector perpendicular to that triangle with magnitude equal to the area of that triangle. Show that the sum of the vector areas of the faces of a tetrahedron add to 0.
A, B and C are points in space relative to 0 such that AB 1 CO and AC 1 BO. Prove that BC 1 AO. The vector area of a triangle is the vector perpendicular to that triangle with magnitude equal to the area of that triangle. Show that the sum of the vector areas of the faces of a tetrahedron add to 0.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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![A, B and C are points in space relative to 0 such
that AB 1 CO and AC 1 BO. Prove that BC 1 AO.
The vector area of a triangle is the vector
perpendicular to that triangle with magnitude
equal to the area of that triangle.
Show that the sum of the vector areas of the faces
of a tetrahedron add to 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78eaab00-3a05-424b-8a2e-8d13993a6b79%2Fcde1d3d2-ff85-44fc-bff3-18b14ee4c60f%2F9kns5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A, B and C are points in space relative to 0 such
that AB 1 CO and AC 1 BO. Prove that BC 1 AO.
The vector area of a triangle is the vector
perpendicular to that triangle with magnitude
equal to the area of that triangle.
Show that the sum of the vector areas of the faces
of a tetrahedron add to 0.
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