The points O, A, B, C have coordinates (0,0,0), (a, 0,0), (0, b, 0) and (0,0, c) respectively, where a, b, c are positive. (i) Find, in terms of a, b, c the volume of the tetrahedron OABC.
The points O, A, B, C have coordinates (0,0,0), (a, 0,0), (0, b, 0) and (0,0, c) respectively, where a, b, c are positive. (i) Find, in terms of a, b, c the volume of the tetrahedron OABC.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Note that the volume of a tetrahedron is equal to
1/3× area of base × height
The points O, A, B, C have coordinates (0,0,0), (a, 0,0), (0, b, 0) and (0,0, c) respectively,
where a, b, c are positive.
(i) Find, in terms of a, b, c the volume of the tetrahedron OABC.
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