DLMF:1.6.E9 (Q186): Difference between revisions

Revision as of 15:57, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:1.6.E9	No description defined

{\displaystyle{\displaystyle\mathbf{a}\times\mathbf{b}=\begin{vmatrix}\mathbf{% i}&\mathbf{j}&\mathbf{k}\\ a_{1}&a_{2}&a_{3}\\ b_{1}&b_{2}&b_{3}\end{vmatrix}\\ =(a_{2}b_{3}-a_{3}b_{2})\mathbf{i}+(a_{3}b_{1}-a_{1}b_{3})\mathbf{j}+(a_{1}b_{% 2}-a_{2}b_{1})\mathbf{k}\\ =\|\mathbf{a}\|\|\mathbf{b}\|(\sin\theta)\mathbf{n},}}

0 references

DLMF:1.6.E9

0 references

{\displaystyle{\displaystyle\det}}

C1.S3.SS1.m1adec

0 references

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

0 references

@@ Property / Symbols used @@
+sine function
@@ Property / Symbols used: sine function / rank @@
+Normal rank
@@ Property / Symbols used: sine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sin\NVar{z}}}$ 
\sin@@{\NVar{z}}
@@ Property / Symbols used: sine function / qualifier @@
+xml-id: C4.S14.E1.m2adec