a. Find the area of the parallelogram formed by u and v. b. Find the volume of the tetrahedron whose vertices are the origin, u, v and w. Find the distance between w and Span(u, v).

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
Section9.4: Polyhedrons And Spheres
Problem 20E
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Question 1.
Let
and
a. Find the area of the parallelogram formed by u and v.
b. Find the volume of the tetrahedron whose vertices are the origin, u, v and w.
c. Find the distance between w and Span(u, v).
d. Find the point on Span(u, v) which is closest to w.
Transcribed Image Text:Question 1. Let and a. Find the area of the parallelogram formed by u and v. b. Find the volume of the tetrahedron whose vertices are the origin, u, v and w. c. Find the distance between w and Span(u, v). d. Find the point on Span(u, v) which is closest to w.
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