Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the volume.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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Question
Consider the parallelepiped with adjacent
edges
Find the volume.
V
=
i
248
u = 5i + 2j + k
v=i+j+ 7k
w = i + 9j + 5k
eTextbook and Media
Hint
The volume V of the parallelepiped
that has the vectors
u= (u₁, U₂, U3), V = (V1, V2, V3),
(W₁, W2, W3) as adjacent
and w=
edges is
V =
Assistance Used
| u
.
(V x W)|
Transcribed Image Text:Consider the parallelepiped with adjacent edges Find the volume. V = i 248 u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k eTextbook and Media Hint The volume V of the parallelepiped that has the vectors u= (u₁, U₂, U3), V = (V1, V2, V3), (W₁, W2, W3) as adjacent and w= edges is V = Assistance Used | u . (V x W)|
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