Vector Algebra

\(\left| {\mathop A\limits^ \wedge + \mathop B\limits^ \wedge } \right| = \left| {\mathop A\limits^ \wedge - \mathop B\limits^ \wedge } \right|\,\tan {\raise0.5ex\hbox{$\scriptstyle \theta $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}\)

\(\left| {\mathop A\limits^ \wedge - \mathop B\limits^ \wedge } \right| = \left| {\mathop A\limits^ \wedge + \mathop B\limits^ \wedge } \right|\,\tan {\raise0.5ex\hbox{$\scriptstyle \theta $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}\)

\(\left| {\mathop A\limits^ \wedge + \mathop B\limits^ \wedge } \right| = \left| {\mathop A\limits^ \wedge - \mathop B\limits^ \wedge } \right|\,\cos {\raise0.5ex\hbox{$\scriptstyle \theta $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}\)

\(\left| {\mathop A\limits^ \wedge - \mathop B\limits^ \wedge } \right| = \left| {\mathop A\limits^ \wedge + \mathop B\limits^ \wedge } \right|\,\cos {\raise0.5ex\hbox{$\scriptstyle \theta $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}\)