The line L {\displaystyle \displaystyle L} has vector parametric equation r ( t ) = ( 2 + 3 t ) i + 4 t j − k {\displaystyle \displaystyle {\textbf {r}}(t)=(2+3t){\textbf {i}}+4t{\textbf {j}}-{\textbf {k}}}
ii. Let α {\displaystyle \displaystyle \alpha } be the angle between the line L {\displaystyle \displaystyle L} and the plane given by the equation x − y + 2 z = 0 {\displaystyle \displaystyle x-y+2z=0} . Find α {\displaystyle \displaystyle \alpha } .
