The volume V of the parallelopiped that has u, v, w as adjacent edges isgiven by: V = u. (v x w) |. If u. (v x w) = 0, then u, v, w lie in the sameplane. Thus, find the volume of the parallelopiped formed by the followings:u =< 1,2, –1 >, v =< 2,–1,2 >, w =< 2,-3, 4 >.

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Description: The volume V of the parallelopiped that has u, v, w as adjacent edges isgiven by: V = u. (v x w) |. If u. (v x w) = 0, then u, v, w lie in the sameplane. Thus, find the volume of the parallelopiped formed by the followings:u = , v =< 2,–1,

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Calculus

The volume V of the parallelopiped that has u, v, w as adjacent edges is given by: V = |u. (v × w)|. If u. (v x w) = 0, then u, v, w lie in the same plane. Thus, find the volume of the parallelopiped formed by the followings: u =< 1,2, –1>, v =< 2, –1,2 >, %3D w =< 2, –3, 4>.

The volume V of the parallelopiped that has u, v, w as adjacent edges is given by: V = |u. (v × w)|. If u. (v x w) = 0, then u, v, w lie in the same plane. Thus, find the volume of the parallelopiped formed by the followings: u =< 1,2, –1>, v =< 2, –1,2 >, %3D w =< 2, –3, 4>.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 8AEXP

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