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 - Exercises - Page 666: 4



Work Step by Step

Recall that $(a_{1}\hat{i}+a_{2}\hat{j}+a_{3}\hat{k})\cdot (b_{1}\hat{i}+b_{2}\hat{j}+ b_{3}\hat{k})=$$a_{1}b_{1}+a_{2}b_{2}+a_{3}b_{3}$. Then, $<1,1,1>\cdot<6,4,2>= 1\times6+1\times4+1\times2= 12$
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