Respuesta :

Answer:

A: 0 degrees

Step-by-step explanation:

(-2,3) and (-6,9) have the same slope and are both located in the second quadrant.

The angle between given vectors is . So, option A is correct.

Important information:

  • The given vertors are u = (-2, 3) and v = (-6, 9).

Angle between two vectors:

Two vectors [tex]v_1[/tex] and [tex]v_2[/tex] are parallel if:

[tex]v_1=kv_2[/tex]

Where, k is a constant.

[tex]3u=3\times (-2,3)[/tex]

[tex]3u=(3\times (-2),3\times 3)[/tex]

[tex]3u=(-6,9)[/tex]

[tex]3u=v[/tex]

It means u and v are parallel vectors and the angle between parallel vectors is always 0.

Therefore, the correct option is A.

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