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Consider the vector v = <3, 2>.

1. What is the angle between v = <3, 2> and the positive x-axis (you can use <1, 0> for this vector)?

 

2. Write v in the form (|v| cosθ, |v| sinθ).

 May 19, 2020
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Arctan 2/3 = atan(0.6666666666666667) = 33.69006752598 degrees

 

v = sqrt (3^2 + 2^2) = sqrt 13     

       sqrt13 cos 33.69  , sqrt 13 sin 33.69

 May 19, 2020

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