whopperpiperalexbutl whopperpiperalexbutl
  • 23-06-2020
  • Mathematics
contestada

If |u| = 12, |v| = 8, and u · v = 48, then the angle between |u| and |v| is _____.

Respuesta :

Bebong Bebong
  • 23-06-2020

Answer:

Step-by-step explanation:

[tex]u\bullet v= |u||v|cos (\theta)[/tex]

That gives [tex]cos (\theta) = \frac{u\bullet v}{|u||v|} = \frac{48}{12\times 8} =\frac{48}{96} =\frac{1}{2}[/tex]

[tex]cos (\theta) = \frac{1}{2} = cos (\pi/3)[/tex]

Hence

[tex]\theta = \pi/3[/tex]

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