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Leya [2.2K]
3 years ago
11

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 f

orm a, b and in vector component form ai bj. (Round each answer to one decimal place.
Mathematics
1 answer:
Scilla [17]3 years ago
8 0

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^{\circ} with positive x axis

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

So a=Vcos\Theta =15\times cos50^{\circ}=9.641

b=Vsin\Theta =15\times sin50^{\circ}=11.49

In vector form 9.641 i+11.49 j

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