http://www.mapleprimes.com/posts/128054-Dot-Product-Of-Real-Vectors en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Thu, 11 Jun 2026 03:37:54 GMT Thu, 11 Jun 2026 03:37:54 GMT The latest comments added to the Post, Dot product of real vectors http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/128054-Dot-Product-Of-Real-Vectors http://www.mapleprimes.com/posts/128054-Dot-Product-Of-Real-Vectors?ref=Feed:MaplePrimes:Dot product of real vectors:Comments#comment128056 <p>Another way to handle this is to ensure that the arguments are row-column. For this column-column example one could transpose the first Vector. This causes LinearAlgebra:-Multiply to do the work, without the conjugation,</p> <pre>&lt;a, b, c&gt; . &lt;d, e, f&gt;; _ _ _ a d + b e + c f &lt;a, b, c&gt;^%T . &lt;d, e, f&gt;; a d + b e + c f &lt;a|b|c&gt; . &lt;d,e,f&gt;; # same orientations as above a d + b e + c f </pre> <p>Transposition can be done inplace (highly memory and speed efficient) on a Vector, either by using the LinearAlgebra:-Transpose command or using the `subtype` parameter of the `rtable_options` command</p> <p>Other straightforward ways to do it include making the assumption that the relevant names are purely real (or to use a command like `evalc` which does that in a blanketing way),</p> <pre>evalc(&lt;a, b, c&gt; . &lt;d, e, f&gt;); a d + b e + c f &lt;a, b, c&gt; . &lt;d, e, f&gt; assuming real; a d + b e + c f &lt;a, b, c&gt; . &lt;d, e, f&gt; assuming a::real, b::real, c::real; a d + b e + c f </pre> <!--break--> <p>acer</p> The latest comments added to the Post, Dot product of real vectors 128056 Thu, 24 Nov 2011 10:49:43 Z acer acer http://www.mapleprimes.com/posts/128054-Dot-Product-Of-Real-Vectors?ref=Feed:MaplePrimes:Dot product of real vectors:Comments#comment128317 <p>Simply work in the Student LinearAlgebra package where all quantities are assumed to be real. Also, the VectorCalculus packages do not conjugate for dot products.</p> <!--break--> <p>RJL Maplesoft</p> The latest comments added to the Post, Dot product of real vectors 128317 Fri, 02 Dec 2011 03:16:48 Z rlopez rlopez http://www.mapleprimes.com/posts/128054-Dot-Product-Of-Real-Vectors?ref=Feed:MaplePrimes:Dot product of real vectors:Comments#comment144638 <p>This morning I had 20 minutes before leaving for a class that I wanted to show a derivation of the equation of a tangent plane at a generic point in order to derive a property of the tangent plane as&nbsp; a function of position, and the dreaded overbar came into my formula from the palette dot product, so finally after years of not trying to find a work around I called tech support since I was out of time&nbsp;and was informed that by using either Student[LinearAlgebra] or VectorCalculus, this would not occur since it assumes variables are real! I had only loaded LinearAlgebra, and I had always thought Student just had the extra tutorials and a few less commands like the elementary row operation commands compared to the&nbsp;full package, but NO. Finally I learned the simple answer. I should have known Robert would have the answer. Thanks, Robert.</p> The latest comments added to the Post, Dot product of real vectors 144638 Thu, 14 Mar 2013 22:38:24 Z Robert Jantzen Robert Jantzen