Use the result of to show that the cross productdistributes over addition. First, use

Chapter 13, Problem 48

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Use the result of to show that the cross productdistributes over addition. First, use distributivity forthe dot product to show that for any vector d ,[(a +b ) c ] d = [(a c )+(b c )] d .Next, show that for any vector d ,[((a +b ) c ) (a c ) (b c )] d = 0.Finally, explain why you can conclude that(a +b ) c = (a c )+(b c).

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