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Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 15. Write V in component form a, b and in vector component form ai bj. (Round each answer to one decimal place.

Respuesta :

Answer:

a=9.641, b=11.49

Vector will be 9.641 i + 11.49 j

Step-by-step explanation:

We have given that vector V has the magnitude of 15

And it makes an angle of 50[tex]^{\circ}[/tex] with positive x axis

Now let the x component of vector V is a and y component of vector V is b

So [tex]a=Vcos\Theta =15\times cos50^{\circ}=9.641[/tex]

[tex]b=Vsin\Theta =15\times sin50^{\circ}=11.49[/tex]

In vector form 9.641 i+11.49 j

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