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## Main Question or Discussion Point

Hi, I want to calculate a rotation of a vector GA style with this formula [itex]e^{-B \frac{\pi}{2}}(2e_{1}+3e_{2}+e_{3})e^{B\frac{\pi}{2}}[/itex]. Now since no book/pdf on GA exists where a calculation is explicitly done with numbers, I wounder how to calculate this. Should I substitude [itex]e^{-B \frac{\pi}{2}}=cos (\frac{\pi}{2})-Bsin(\frac{\pi}{2})[/itex](same for the other term) and see what I get, or should I convert the vector into a complex number and then convert it into the exponential form and then multiply it? Or how is this done? By the way, how do I convert a vector in [itex]R^{3}[/itex] into a complex number? Multiply on the left with [itex]e_{1}e_{2}[/itex]? In [itex]R^{2}[/itex] it is just multiplication by [itex]e_{1}[/itex] on the left.