The components of the cross product have a geometric interpretation. Show that the absolute value of the

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The components of the cross product have a geometric interpretation. Show that the absolute value of the k-component of v × w is equal to the area of the parallelogram spanned by the projections v₀ and w₀ onto the xy-plane (Figure 20).

X V I IW Wo

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 31, 2023 10:07 AM

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The components of the cross product have a geometric interpretation. Show that the absolute value of the

Question:

X V I IW Wo

Step by Step Answer:

Let v a1 a2 a3 and w bb2b3 hence Vo a1 a2 0 and wo bb2 0 The area S of the parallelogram spanned ...View the full answer

Calculus

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