Respuesta :

Answer:

[tex] \alpha = 7[/tex]

Step-by-step explanation:

[tex]a(vector) = 4i - 2j[/tex]

[tex]b(vector) = \alpha i + 2j[/tex]

[tex]ab(vector) = ( \alpha - 4)i \: + 4j[/tex]

Now,

Let K * ab (unit vector) = ab (vector)

  1. (0.4 * k) j = 4 j Thus, K = 10
  2. [tex](0.3 \times k)i = ( \alpha - 4)i[/tex]

Solving further :

[tex] \alpha = 7[/tex]