Let such that

In terms of the unit coordinate vectors compute the cross product

Using part (a) of the previous exercise and equation (13.10) on page 490 of Apostol () we compute

Then we use the other given relations

Which all implies

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#
Stumbling Robot

A Fraction of a Dot
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Compute the cross product of given vectors in terms of the unit coordinate vectors

Let such that

In terms of the unit coordinate vectors compute the cross product

Using part (a) of the previous exercise and equation (13.10) on page 490 of Apostol () we compute

Then we use the other given relations

Which all implies