1. A wave with a frequency of 10 Hz has a wavelength of 3 meters. At what wave speed will this wave travel?

30 m\ s Ans

Explanation:

Data:

f = 10 Hz

w = 3 m

v = ?

Formula:

v = fw

Solution:

v = ( 10)(3)

v = 30 m\ s Ans

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