query: How do we prove that the normal vectors to the sides of a polygon add up to 0?
positive_passages.docid: 156643
positive_passages.text: Vectors perpendicular to triangle sides sum to zero
negative_passages.docid: 54028
negative_passages.text: How do I calculate the area of a 2d polygon?
negative_passages.docid: 67851
negative_passages.text: Does $|x|^p$ with $0<p<1$ satisfy the triangle inequality on $\mathbb{R}$?
negative_passages.docid: 134652
negative_passages.text: Prove that the perpendicular bisectors of the sides of a triangle meet at a point
negative_passages.docid: 86646
negative_passages.text: Why is the direction of cross products of two vectors perpendicular to the plane?
negative_passages.docid: 57406
negative_passages.text: Proving the volume of a cone
negative_passages.docid: 105852
negative_passages.text: How to verify whether or not there exists a vector $x$ such that $Ax > 0$?
negative_passages.docid: 103806
negative_passages.text: How to prove triangle inequality for $p$-norm?
negative_passages.docid: 24128
negative_passages.text: How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
negative_passages.docid: 156985
negative_passages.text: Question Concerning Vectors
negative_passages.docid: 135365
negative_passages.text: If $x, y, z$ are the side lengths of a triangle, prove that $x^2 + y^2 + z^2 < 2(xy + yz + xz)$
negative_passages.docid: 76110
negative_passages.text: Proving that the zero vector is unique
negative_passages.docid: 111903
negative_passages.text: An inequality for sides of a triangle
negative_passages.docid: 69877
negative_passages.text: Calculating coverage of vector polygon over other polygons?
negative_passages.docid: 69474
negative_passages.text: Orthogonal projections with $\sum P_i =I$, proving that $i\ne j \Rightarrow  P_{j}P_{i}=0$
negative_passages.docid: 12802
negative_passages.text: Proof of correctness of normal equation
negative_passages.docid: 3433
negative_passages.text: Proof if $a \vec v = 0$ then $a = 0$ or $\vec v = 0$