Given that vector a = (Tan α, 1) vector b = (2,1) and vector a ‖ vector B, then sin α · cos α Sin α = 2cos α is calculated

Given that vector a = (Tan α, 1) vector b = (2,1) and vector a ‖ vector B, then sin α · cos α Sin α = 2cos α is calculated

Vector a ∥ vector B, Tana = 2,
Since Sin & # 178; a + cos & # 178; a = 1,
So sin α · cos α
=Sin α · cos α / (Sin & # 178; a + cos & # 178; a) (where the numerator and denominator divide cos & # 178; a)
=tana/(tan²a+1)
=2/(4+1)
=2/5.