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1. Points A(2,1,0), B (4,1,6), C(5,3,s) and E (-8,5,t) are the vertices of a triangular prism where s and t is a constant. a) Determine AB x AC, in terms of s.4 b) Determine the volume of the triangular prism in terms of s and t.4 c) Determine the relationship between s and t if the volume of the triangular prism is

1. Points A(2,1,0), B (4,1,6), C(5,3,s) and E (-8,5,t) are the vertices of a triangular prism where s and t is a constant. a) Determine AB x AC, in terms of s.4 b) Determine the volume of the triangular prism in terms of s and t.4 c) Determine the relationship between s and t if the volume of the triangular prism is

Advanced Engineering Mathematics
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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1. Points A(2,1,0), B (4,1,6), C(5,3.s) and E (-8,5,t) are the vertices of a triangular prism where s and t is a constant. a) Determine AB x AC, in terms of s.4 b) Determine the volume of the triangular prism in terms of s and t.4 c) Determine the relationship between s and t if the volume of the triangular prism is zero. d) Determine s and t if the volume of the triangular prism is zero and s = 2t. e) If AD is perpendicular to both AB and AC, determine s and t. f) Determine the volume of the triangular prism if AD is perpendicular to both AB and AC.
Transcribed Image Text:1. Points A(2,1,0), B (4,1,6), C(5,3.s) and E (-8,5,t) are the vertices of a triangular prism where s and t is a constant. a) Determine AB x AC, in terms of s.4 b) Determine the volume of the triangular prism in terms of s and t.4 c) Determine the relationship between s and t if the volume of the triangular prism is zero. d) Determine s and t if the volume of the triangular prism is zero and s = 2t. e) If AD is perpendicular to both AB and AC, determine s and t. f) Determine the volume of the triangular prism if AD is perpendicular to both AB and AC.
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