SOLUTION: how many degrees from the x-axis is the direction of the vector 3i+2j? I am extremely stuck and need major help! thanks!!!

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Question 422402: how many degrees from the x-axis is the direction of the vector 3i+2j?
I am extremely stuck and need major help!
thanks!!!

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many degrees from the x-axis is the direction of the vector 3i+2j?
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The x-coordinate is 3.
The y-coordinate is 2.
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angle = tan^-1(2/3) = 33.69 degrees
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Cheers,
Stan H.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the vector 3i%2B2j has a horizontal component of length 3 in the positive+x+direction and a vertical component of length +2 in the positive y direction
the amplitude is:
tan+%28alpha%29+=+opp%2Fadj+=+2%2F3

arc+tan+%282%2F3%29+=+33.7degrees