Another operation with vectors is the scalar triple product, defined to be u (v w),

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Another operation with vectors is the scalar triple product, defined to be u • (v × w), for vectors u, v, and w in R³.

a. Consider the parallelepiped (slanted box) determined by the position vectors u, v, and w (see figure). Show that the volume of the parallelepiped is the absolute value of the scalar triple product |u • (v × w)|.

b. Use the scalar triple product to find the volume of the parallelepiped determined by the vectors u = (3, 1, 0), v = (2, 4, 1), and w = (1, 1, 5).

Ju cos 0

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 13, 2019 08:29 AM

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Another operation with vectors is the scalar triple product, defined to be u (v w),

Question:

Ju cos 0

Step by Step Answer:

u v w u vx w cos Because v x w represents the area of the ...View the full answer

Calculus Early Transcendentals

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