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Find the magnitude of the resultant of two vectors u and v, given lul=2, lvl=7, and the angle between the vectors when they are arranged tail to tail is 40 degrees

Guest Nov 24, 2018
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Since we can position the vectors as we wish

 

Let both have their initial point at (0,0)

 

Let the terminal point of u   = (2,0)

 

And let the terminal point of v be   ( 7cos (40°)  ,  7sin (40°)  )

 

The x component  of the resultant is     2 + 7cos(40°)

The y component of the reultant is  7sin (40°)

 

The magnitude of the resultant is

 

√ ( ( 7cos (40°) + 2 )^2 +   (7sin (40°))^2 ) ≈ 8.6 units 

 

 

 

cool cool cool

CPhill  Nov 24, 2018

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