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<p>added. Bob draws an arrow from point  to point  and another arrow from point  to point , and completes the parallelogram to find what Bob thinks is , but Alice knows that he has actually computed<br/>
: .</p>

<p>Similarly, <a href="page.php?w=Alice_and_Bob">Alice and Bob</a> may evaluate any <a href="page.php?w=linear_combination">linear combination</a> of  and , or of any <a href="page.php?w=finite_set">finite set</a> of vectors, and will generally get different answers. However, if the sum of the coefficients in a linear combination is 1,</p><p>
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