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 Apr 17 accepted From $xz+yz+xy$ to $\frac{1}{2}(x+y+z)^2 - \frac{1}{2}(x^2 + y^2 + z^2)$ Apr 17 asked From $xz+yz+xy$ to $\frac{1}{2}(x+y+z)^2 - \frac{1}{2}(x^2 + y^2 + z^2)$ Apr 17 awarded Teacher Apr 17 answered Smallest and largest values of $\|\vec{v}-\vec{w}\|$ Apr 17 revised Smallest and largest values of $\|\vec{v}-\vec{w}\|$ deleted 657 characters in body Apr 17 comment Smallest and largest values of $\|\vec{v}-\vec{w}\|$ @Berci Thanks :) Great to hear that. I have one question. Should I delete the question or can I let it in case any one found it valuable? Apr 17 asked Smallest and largest values of $\|\vec{v}-\vec{w}\|$ Apr 17 comment Shortest Vector for which Dot Product = x + 2y = 5. (Strang P21 1.2.26) Although I can see your point and thank you for that (+1) these seem like a long workaround. But thanks. Apr 17 accepted Shortest Vector for which Dot Product = x + 2y = 5. (Strang P21 1.2.26) Apr 17 comment Shortest Vector for which Dot Product = x + 2y = 5. (Strang P21 1.2.26) Thanks. Although I didn't derive since college this is a great and simple way to solve the problem (more than the calculus-free approach that @user12477 proposed). +1 Apr 17 comment Shortest Vector for which Dot Product = x + 2y = 5. (Strang P21 1.2.26) (1,3) will result in a greater magnitude vector than (1,2). So it can't be. Apr 17 asked Shortest Vector for which Dot Product = x + 2y = 5. (Strang P21 1.2.26) Apr 16 accepted Geometry of perpendicular vectors Apr 16 comment Geometry of perpendicular vectors Thanks for your vey comprehensive answer. I do the exercise as you suggest, it seems from the results that the orthogonal vectors to both will be the span of precisely {1, 0, -1} and such they'll be a line. Also your definition helps me a lot. Thanks! Apr 16 awarded Custodian Apr 16 reviewed Approve Geometry of perpendicular vectors Apr 16 asked Geometry of perpendicular vectors Apr 10 accepted Find area of triangle (given its equations) Apr 10 comment Find area of triangle (given its equations) Thank you. A very clear explanation. I solve the problem, the area is 16 Apr 10 asked Find area of triangle (given its equations)