Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - 12.4 The Cross Product - 12.4 Exercises - Page 862: 48


$a \times b=b \times c =c \times a$

Work Step by Step

$a+b+c=0$ then $b=-a-c$ $a \times b=a \times (-a-c)=-a \times c$ $a \times b=c \times a$ ... (1) $a+b+c=0$ then $a=-b-c$ $a \times b=(-b-c) \times b=-c \times b$ $a \times b=b \times c$ ...(2) From equations (1) and (2), we have $a \times b=b \times c =c \times a$ Hence,$a \times b=b \times c =c \times a$
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