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

Question:

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

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

Question Posted: