A wave travels down a string with a velocity of 512 m/s. If the string has a length of 6.84 meters, what is the second harmonic frequency of this string? 165 Hz

37.1 Hz

74.9 Hz

3500 Hz

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c. magnitude and direction

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west