θ
0.8π
a\color{#FF00FF}\mathbf{a}
v\color{#006400}\mathbf{v}
v\color{#9ACD32}\mathbf{v}_{\parallel}
v\color{#FF1932}\mathbf{v}_{\perp}
v\color{#FFD700}\mathbf{v}_{\perp}'
a×v\color{#00BFFF}\mathbf{a}\times\mathbf{v}
v\color{#FF8C00}\mathbf{v}'