the way to find out if a vector is perpendicular to a plane the usual way is to find the normal to the plane, then find the cross product of the normal...
i want to make sure: you mean the lines are parallel and coplanar right? NOT L1 is in the plane and the plane is parallel to L2, correct? If you mean the former then the cross product will not work as others have suggested, it will always be a null vector. If you mea...
where\alpha\leq\beta\leq\gammaare the angles ofT. If we fold along a line which is parallel to a bisector, the result is the same, i. e., the supremum of{\mathbf{area}}(T_{Y})over all half planes withL=\partial Yparallel to a certain bisector is the same as the supremum of ...
In a traditionalpimnemonic, such as the one above, the number of characters in each word is used to represent a digit ofpi, with the ocassional 10-, 11-, 12, or 14-digit word denoting two digits of pi. Punctuation is ignored. A famous example is the following: God! I need a drin...
Physical activity and cardiovascular disease (CVD) are intimately linked. Low levels of physical activity increase the risk of CVDs, including myocardial infarction and stroke. Conversely, when CVD develops, it often reduces the ability to be physically active. Despite these largely understood relationsh...