Question
A tetrahedronOABC has a baseOAB and a vertexC, withOA=i+3j-k,OB=3i-j+2k andOC=i-j-2k. (a) Show thatOC is perpendicular to bothOA andOB. (4 marks) (b) Calculate the angle between
A tetrahedronOABC has a baseOAB and a vertexC, withOA=i+3j-k,OB=3i-j+2k andOC=i-j-2k.
(a) Show thatOC is perpendicular to bothOA andOB.
(4 marks)
(b) Calculate the angle between the edgeBC and baseOAB of the Tetrahedron.
(6 marks)
(c) Calculate the area of the baseOAB and the volume of the tetrahedron.
(10 marks)
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Elementary Number Theory With Applications
Authors: Thomas Koshy
2nd Edition
0080547095, 9780080547091
