Vector A has a magnitude of 188 units and points 30.0 degrees north of west. Vec

Question

Vector A has a magnitude of 188 units and points 30.0 degrees north of west. Vector B points 50.0 degrees east of north.Vector C points 20.0 degrees west of south. These three vectors add to give a resultant vector that is zero. Using components method, find the magnitudes of vector B and (c) Vector C. Vector A has a magnitude of 188 units and points 30.0 degrees north of west. Vector B points 50.0 degrees east of north.Vector C points 20.0 degrees west of south. These three vectors add to give a resultant vector that is zero. Using components method, find the magnitudes of vector B and (c) Vector C.

Explanation / Answer

A =188 (-cos30 i + sin30 j)

B = b ( sin50 i + cos50 j )

C = c ( -sin20 i - cos20 j)

Now, R = A + B + C = 0

So, x-component of R = 188*(-cos30 deg) + b*sin50 - c*sin20 = 0

and y-component of R = 188*( sin30 deg) + b*cos50 - c*cos20 = 0

So, b = 370.3 units <---------- answer

c = 353.3 units <----------- answer

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