Formulate and prove analogs of the result in Exercise 59 for the i- and j-components of v

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Formulate and prove analogs of the result in Exercise 59 for the i- and j-components of v × w.

Data From Exercise 59

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: Mar 01, 2024 02:00 AM

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Formulate and prove analogs of the result in Exercise 59 for the i- and j-components of v

Question:

X V I IW Wo

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The area of the parallelogram spanned by the projections equal to the absolute value of the jcompone...View the full answer

Calculus

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