Two forces, F 1 and F 2 , are given by the vectors F 1 = (3i

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Two forces, F1 and F2, are given by the vectors F1 = (3i − 4j) N and F2 = ( pi + qj) N. 

The resultant force, R = F1 + F2 acts in a direction which is parallel to the vector (2i − j).

a. Find the angle between R and the vector i.

b. Show that p + 2q = 5.

c. Given that p = 1, find the magnitude of R.

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