Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes to form a triangular pyramid. Find the volume of the pyramid. (Vpyramid =(area of the base)(height)).

Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes to form a triangular pyramid. Find the volume of the pyramid. (Vpyramid =(area of the base)(height)).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 38E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6,...

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Question

Given the plane i = (-2, 1,5) + s(3, -2,0) + t(1, 1, 5), s,t € R. The plane cuts the x, y and z-axes to form a
triangular pyramid. Find the volume of the pyramid. (Vpyramia =(area of the base)(height)).

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