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 prismwhere s and t is a constant.a) Determine AB x AC, in terms of s.4b) Determine the volume of the triangular prism in terms of s and t.4c) Determine the relationship between s and t if the volume of the triangular prism iszero.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 andAC.

Answered: Image /qna-images/answer/9ca1475a-4d70-4327-94fa-10e1f4ad62ce.jpg

Answered: 1. Points A(2,1,0), B (4,1,6), C(5,3,s)…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.2: Pyramids, Area, And Volume

Problem 38E

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