Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.3 Dot Product and the Angle Between Two Vectors - Preliminary Questions - Page 666: 4

Answer

(a) $ v $

Work Step by Step

Since we have $$\operatorname{proj}_{u}(v)=\left(\frac{u \cdot v}{u \cdot u}\right) u $$ then by putting $ u=v $, we get $\operatorname{proj}_{v}(v)=v $. So the result is (a) $ v $.
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