query: what is the geometical interpretation of $\vec a.\vec b$?
positive_passages.docid: 99257
positive_passages.text: Dot Product Intuition
negative_passages.docid: 83475
negative_passages.text: Prove Or Disprove: tr(AB)=tr(A)*tr(B)
negative_passages.docid: 131315
negative_passages.text: What geometric object is given by this equation?
negative_passages.docid: 51942
negative_passages.text: Axis/vector notation in Minkowski diagrams
negative_passages.docid: 20653
negative_passages.text: Geometric meaning of the determinant of a matrix
negative_passages.docid: 154841
negative_passages.text: Computing symmetry/combinatorial factor for a diagram in $\phi^4$ theory
negative_passages.docid: 64432
negative_passages.text: Physical or geometric meaning of the trace of a matrix
negative_passages.docid: 73037
negative_passages.text: Geometric visualization of nested radicals
negative_passages.docid: 87152
negative_passages.text: The difference between the algebraic torus and the geometric torus
negative_passages.docid: 11509
negative_passages.text: Relationship between $\operatorname{ord}(ab), \operatorname{ord}(a)$, and $\operatorname{ord}(b)$
negative_passages.docid: 83230
negative_passages.text: A useful illustration for differential geometry
negative_passages.docid: 135980
negative_passages.text: Geometric interpretation of a complex set
negative_passages.docid: 139552
negative_passages.text: Geometric intuition behind gradient, divergence and curl
negative_passages.docid: 83449
negative_passages.text: Proof with 3D vectors
negative_passages.docid: 69679
negative_passages.text: Geometric interpretation for sum of fourth powers
negative_passages.docid: 103136
negative_passages.text: Geometric intuition of the dimension of Grassmannians and flag manfolds
negative_passages.docid: 127294
negative_passages.text: Geometric interpretation of multiple correlation coefficient $R$ and coefficient of determination $R^2$